Evento

Bachelor's programme in Mathematics

Bachelor's programme in Mathematics (2010 study regulations) (0084c_k120)

Module: Elementargeometrie (0084cB2.6)

Geometry

LV: 19213101

a.In Planung

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cB2.6.1

Akt: 13.01.2023 15:31

Mon, 10:00 - 12:00 ()

Wed, 12:00 - 14:00 (A3/SR 120)

Description

Inhalt

Diese Vorlesung für das Bachelorstudium soll als natürliche Fortsetzung von Lineare Algebra I und II Fundamente legen für Vorlesungen/Zyklen wie Diskrete Geometrie, Algebraische Geometrie und Differenzialgeometrie.

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

euklidische, affine, sphärische, projektive und hyperbolische Geometrie,Möbiusgeometrie, Polarität und Dualität Strukturgruppen, Messen (Längen, Winkel, Volumina), explizite Berechnungen und Anwendungen, Beispiele sowie Illustrationsthemen;

Dabei werden weitere Bezüge hergestellt, zum Beispiel zur Funktionentheorie und zur Numerik.

References

Literatur

Marcel Berger. Geometry I
David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray. Geometry
Gerd Fischer. Analytische Geometrie
V.V. Prasolov und V.M. Tikhomirov. Geometry

Additional appointments

Appointment series

Alexandru Constantinescu

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

A3/SR 120

Alexandru Constantinescu

einmal, ab 19.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Geometry

LV: 19213102

a.In Planung

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cB2.6.2

Akt: 09.01.2023 17:07

Fri, 08:00 - 10:00 (A7/SR 031)

Fri, 10:00 - 12:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Module: Complex Analysis (0084cB2.3)

Theory of Functions

LV: 19212801

a.In Planung

4 SWS

Klaus Altmann

Lecture

Submod: 0084cB2.3.1

Akt: 13.01.2023 12:53

Tue, 14:00 - 18:00 ()

Description

Function theory is a classical field of mathematics, which deals with the properties of complex-differentiable functions on the complex number plane and has connections to algebra, analysis, number theory and geometry.

The concept of complex differentiability restricts real-differentiable functions from R2 to R2 to angle-preserving images. We will discover that complex-differentiable functions are quite rigid objects, but they are endowed with many amazing analytical, geometric, and visual properties.

A major result discussed in this lecture is Cauchy's integral theorem which states that the integral of any complexly differentiable function along a closed path in the complex plane is zero. We will see many nice consequences of this result, e.g. Cauchy's integral formula, the residual theorem and a proof of the fundamental theorem of algebra, as well as modern graphical representation methods.

References

Literatur:

E. Freitag and R. Busam 'Complex analysis', (Springer) 2nd Edition 2009 (the original German version is called 'Funktionentheorie')

Additional appointments

Appointment series

Klaus Altmann

einmal, ab 18.04.2023, 14:00 - 18:00 (14 Termine)

Practice seminar for Theory of Functions

LV: 19212802

a.In Planung

2 SWS

Anna-Lena Winz

Practice seminar

Submod: 0084cB2.3.2

Akt: 10.01.2023 13:07

Fri, 12:00 - 14:00 ()

Wed, 10:00 - 12:00 (A3/ 024 Seminarraum )

Fri, 12:00 - 14:00 (A6/108/109 Seminarraum)

Additional appointments

Appointment series

Anna-Lena Winz

einmal, ab 21.04.2023, 12:00 - 14:00 (14 Termine)

A3/ 024 Seminarraum

Anna-Lena Winz

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/108/109 Seminarraum

Anna-Lena Winz

einmal, ab 21.04.2023, 12:00 - 14:00 (14 Termine)

Module: Stochastics II (0084cB2.4)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

a.In Planung

2 SWS

László Kozma

Seminar

Submod: 0089bA2.8.1

Akt: 27.01.2023 10:56

Tue, 14:00 - 16:00 (T9/051 Seminarraum)

Description

Advanced topcis in algorithm design with a changing focus. The topic is determined newly in each semester. For example, we might consider algorithms for problems on graphs, such as connectivity, shortest paths, or network flows.

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/051 Seminarraum

László Kozma

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

Module: Specialisation in Mathematics (0084cB4.1)

Geometry

LV: 19213101

a.In Planung

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cB2.6.1

Akt: 13.01.2023 15:31

Mon, 10:00 - 12:00 ()

Wed, 12:00 - 14:00 (A3/SR 120)

Description

Inhalt

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

Dabei werden weitere Bezüge hergestellt, zum Beispiel zur Funktionentheorie und zur Numerik.

References

Literatur

Marcel Berger. Geometry I
David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray. Geometry
Gerd Fischer. Analytische Geometrie
V.V. Prasolov und V.M. Tikhomirov. Geometry

Additional appointments

Appointment series

Alexandru Constantinescu

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

A3/SR 120

Alexandru Constantinescu

einmal, ab 19.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Geometry

LV: 19213102

a.In Planung

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cB2.6.2

Akt: 09.01.2023 17:07

Fri, 08:00 - 10:00 (A7/SR 031)

Fri, 10:00 - 12:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

a.In Planung

4 SWS

Claudia Schillings

Lecture

Submod: 0084cA1.1.1

Akt: 20.12.2022 13:35

Thu, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Tue, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Description

Content:
This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered. Topics:

fundamentals, elementary logic, ordered pairs, relations, functions, domain and range of a function, inverse functions (injectivity, surjectivity)
numbers, induction, calculations in R, C
arrangement of R, maximum and minimum, supremum and infimum of real sets, supremum / infimum completeness of R, absolute value of a real number, Q is dense in R
sequences and series, limits, cauchy sequences, convergence criteria, series and basic principles of convergence
topological aspects of R, open, closed, and compact real sets
sequences of functions, series of functions, power series
properties of functions, boundedness, monotony, convexity
continuity, limits and continuity of functions, uniform continuity, intermediate value theorems, continuity and compactness
differentiability, concept of the derivative, differentiation rules, mean value theorem, local and global extrema, curvature, monotony, convexity
elementary functions, rational functions, root functions, exponential functions, angular functions, hyperbolic functions, real logarithm, inverse trigonometric functions, curve sketching
beginnings of integral calculus

References

Literature:

Bröcker, Theodor: Analysis 1, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 1, Vieweg-Verlag.
Spivak, Michael: Calculus, 4th Edition.

Viele Analysis Bücher sind auch über die Fachbibliothek der FU Berlin elektronisch verfügbar.

Bei Schwierigkeiten mit den Grundbegriffen Menge, Abbildung etc. ist die folgende Ausarbeitung empfehlenswert:

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Claudia Schillings

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Claudia Schillings

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for Analysis I

LV: 19202802

a.In Planung

2 SWS

Claudia Schillings

Practice seminar

Submod: 0084cA1.1.2

Akt: 20.12.2022 13:35

Wed, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Thu, 14:00 - 16:00 (A6/SR 007/008 Seminarraum)

Fri, 14:00 - 16:00 (A3/SR 115)

Tue, 16:00 - 18:00 (A3/ 024 Seminarraum )

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Claudia Schillings

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 007/008 Seminarraum

Claudia Schillings

einmal, ab 20.04.2023, 14:00 - 16:00 (13 Termine)

A3/SR 115

Claudia Schillings

einmal, ab 21.04.2023, 14:00 - 16:00 (14 Termine)

A3/ 024 Seminarraum

Claudia Schillings

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Module: Computerorientierte Mathematik II (0084cA1.7)

Computer-oriented Mathematics II

LV: 19211901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0084cA1.7.1

Akt: 20.12.2022 15:54

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

Die Auswahl der behandelten numerischen Verfahren enthält Polynominterpolation, Newton-Cotes-Formeln zur numerische Integration und Euler-Verfahren für lineare Differentialgleichungen.

Additional information

Studierende der Mathematik (Monobachelor und Lehramt) und Bioinformatik, sowie Numerikinteressierte aus Physik, Informatik und anderen Natur- und Geisteswissenschaften.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Claudia Schillings

einmal, ab 21.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.In Planung

2 SWS

N.N.

Claudia Schillings

Practice seminar

Submod: 0084cA1.7.2

Akt: 27.01.2023 13:36

Fri, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Mon, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

Wed, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A7/SR 031)

Thu, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Fri, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Tue, 16:00 - 18:00 (A6/SR 009 Seminarraum)

Thu, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Mon, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 21.04.2023, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

N.N.

Claudia Schillings

einmal, ab 24.04.2023, 10:00 - 12:00 (11 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 19.04.2023, 14:00 - 16:00 (14 Termine)

A7/SR 031

N.N.

Claudia Schillings

einmal, ab 03.05.2023, 14:00 - 16:00 (12 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

N.N.

Claudia Schillings

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 21.04.2023, 08:00 - 10:00 (14 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

N.N.

Claudia Schillings

einmal, ab 20.04.2023, 08:00 - 10:00 (13 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 24.04.2023, 08:00 - 10:00 (11 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

a.In Planung

4 SWS

Marita Thomas

Lecture

Submod: 0084cA1.2.1

Akt: 20.12.2022 13:54

Tue, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Thu, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Description

Content

Additions to Analysis I. Non-authentic integrals
Uniform convergence of function sequences. Power series. Sentence of Taylor.
Elements of topology. Standardized and metric spaces. Open quantities. Convergence. Completed quantities. Consistency. Compactness
Differential calculus of several variables. Partial, total and continuous differentiability. Block via the inverse function. Block of implicit functions.
Iterated integrals.
Ordinary differential equations. Basic terms, elementary solvable differential equations, existential and unambiguous results for systems.

References

O. Forster: Analysis 1 und 2. Vieweg/Springer.
Königsberger, K: Analysis 1,2, Springer.
E. Behrends: Analysis Band 1 und 2, Vieweg/Springer.
H. Heuser: Lehrbuch der Analysis 1 und 2, Teubner/Springer.

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Marita Thomas

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

T9/SR 005 Übungsraum

Marita Thomas

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

a.In Planung

2 SWS

Marita Thomas

Sven Tornquist

Practice seminar

Submod: 0084cA1.2.2

Akt: 27.01.2023 13:37

Tue, 16:00 - 18:00 (A7/SR 031)

Wed, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

Mon, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Additional appointments

A6/SR 031 Seminarraum

A7/SR 031

Marita Thomas

Sven Tornquist

17.04.2023 10:00 - 18:00

Appointment series

A7/SR 031

Marita Thomas

Sven Tornquist

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Marita Thomas

Sven Tornquist

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Marita Thomas

Sven Tornquist

einmal, ab 24.04.2023, 10:00 - 12:00 (11 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

a.In Planung

4 SWS

Christian Haase

Lecture

Submod: 0084cA1.5.1

Akt: 05.01.2023 17:09

Wed, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Mon, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Description

Contents:

Determinants
Eigenvalues and eigenvectors: diagonalizability, trigonalizability, set of Cayley-Hamilton, Jordanian normal form
Bilinear forms
Vectorräume with scalar product: Euclidean, unitary vectorräume, orthogonal projection, isometries, self-adjusted images, Gram-Schmidt orthonormalization methods, major axis transformation

Prerequisites:
Linear Algebra I
Literature:

Will be mentioned in the lecture.

Additional information

See http://page.mi.fu-berlin.de/werner99/.

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 17.04.2023, 12:00 - 14:00 (12 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

a.In Planung

2 SWS

Jan Sevenster

Practice seminar

Submod: 0084cA1.5.2

Akt: 27.01.2023 13:42

Fri, 08:00 - 10:00 (A3/SR 120)

Fri, 10:00 - 12:00 (T9/046 Seminarraum)

Thu, 16:00 - 18:00 (A3/SR 119)

Thu, 08:00 - 10:00 (A3/ 024 Seminarraum )

Additional appointments

Appointment series

A3/SR 120

Jan Sevenster

einmal, ab 21.04.2023, 08:00 - 10:00 (14 Termine)

T9/046 Seminarraum

Jan Sevenster

einmal, ab 21.04.2023, 10:00 - 12:00 (14 Termine)

A3/SR 119

Jan Sevenster

einmal, ab 20.04.2023, 16:00 - 18:00 (13 Termine)

A3/ 024 Seminarraum

Jan Sevenster

einmal, ab 20.04.2023, 08:00 - 10:00 (13 Termine)

Module: Numerical Mathematics I (0084cA1.9)

Numerics I

LV: 19212001

a.In Planung

4 SWS

Ana Djurdjevac

Lecture

Submod: 0084cA1.9.1

Akt: 10.01.2023 14:19

Wed, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

References

Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Ana Djurdjevac

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Ana Djurdjevac

einmal, ab 17.04.2023, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.In Planung

2 SWS

N.N.

Practice seminar

Submod: 0084cA1.9.2

Akt: 10.01.2023 15:56

Mon, 12:00 - 14:00 (T9/055 Seminarraum)

Fri, 10:00 - 12:00 (1.1.53 Seminarraum E2)

Mathematics (0084d_k120)

Module: Scientific Work in Mathematics (0084dB1.1)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

a.In Planung

2 SWS

Luigi Delle Site

Seminar

Submod: 0084dB1.1.1

Akt: 19.12.2022 16:09

Wed, 14:00 - 16:00 (A6/SR 007/008 Seminarraum)

Description

Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

The discussion will concerns both, specific computational coding and conceptual developments.

References

Related Basic Literature:

(1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

(2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

(3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science

Additional information

Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Luigi Delle Site

einmal, ab 19.04.2023, 14:00 - 16:00 (14 Termine)

Seminar: Advanced delay equations

LV: 19239711

a.In Planung

2 SWS

N.N.

Isabelle Schneider

Seminar

Submod: 0084dB1.1.1

Akt: 10.01.2023 11:10

Thu, 16:00 - 18:00 (A7/SR 140 Seminarraum (Hinterhaus))

Seminar: Advanced Differential Equations

LV: 19239911

a.In Planung

2 SWS

Isabelle Schneider

Seminar

Submod: 0084dB1.1.1

Akt: 21.12.2022 16:12

Thu, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Module: Complex Analysis (0084dB2.3)

Theory of Functions

LV: 19212801

a.In Planung

4 SWS

Klaus Altmann

Lecture

Submod: 0084cB2.3.1

Akt: 13.01.2023 12:53

Tue, 14:00 - 18:00 ()

Description

References

Literatur:

E. Freitag and R. Busam 'Complex analysis', (Springer) 2nd Edition 2009 (the original German version is called 'Funktionentheorie')

Additional appointments

Appointment series

Klaus Altmann

einmal, ab 18.04.2023, 14:00 - 18:00 (14 Termine)

Practice seminar for Theory of Functions

LV: 19212802

a.In Planung

2 SWS

Anna-Lena Winz

Practice seminar

Submod: 0084cB2.3.2

Akt: 10.01.2023 13:07

Fri, 12:00 - 14:00 ()

Wed, 10:00 - 12:00 (A3/ 024 Seminarraum )

Fri, 12:00 - 14:00 (A6/108/109 Seminarraum)

Additional appointments

Appointment series

Anna-Lena Winz

einmal, ab 21.04.2023, 12:00 - 14:00 (14 Termine)

A3/ 024 Seminarraum

Anna-Lena Winz

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/108/109 Seminarraum

Anna-Lena Winz

einmal, ab 21.04.2023, 12:00 - 14:00 (14 Termine)

Module: Stochastics II (0084dB2.4)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Module: Geometry (0084dB2.7)

Geometry

LV: 19213101

a.In Planung

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cB2.6.1

Akt: 13.01.2023 15:31

Mon, 10:00 - 12:00 ()

Wed, 12:00 - 14:00 (A3/SR 120)

Description

Inhalt

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

Dabei werden weitere Bezüge hergestellt, zum Beispiel zur Funktionentheorie und zur Numerik.

References

Literatur

Marcel Berger. Geometry I
David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray. Geometry
Gerd Fischer. Analytische Geometrie
V.V. Prasolov und V.M. Tikhomirov. Geometry

Additional appointments

Appointment series

Alexandru Constantinescu

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

A3/SR 120

Alexandru Constantinescu

einmal, ab 19.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Geometry

LV: 19213102

a.In Planung

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cB2.6.2

Akt: 09.01.2023 17:07

Fri, 08:00 - 10:00 (A7/SR 031)

Fri, 10:00 - 12:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Module: Discrete Mathematics I (0084dB3.2)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Module: Topology I (0084dB3.6)

Basic module: Topology I

LV: 19205401

a.In Planung

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 20.12.2022 13:37

Tue, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Thu, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Course Overview This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Exercise for Basic Module: Topology I

LV: 19205402

a.In Planung

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.12.2022 13:37

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

a.In Planung

4 SWS

Claudia Schillings

Lecture

Submod: 0084cA1.1.1

Akt: 20.12.2022 13:35

Thu, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Tue, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Description

Content:
This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered. Topics:

fundamentals, elementary logic, ordered pairs, relations, functions, domain and range of a function, inverse functions (injectivity, surjectivity)
numbers, induction, calculations in R, C
arrangement of R, maximum and minimum, supremum and infimum of real sets, supremum / infimum completeness of R, absolute value of a real number, Q is dense in R
sequences and series, limits, cauchy sequences, convergence criteria, series and basic principles of convergence
topological aspects of R, open, closed, and compact real sets
sequences of functions, series of functions, power series
properties of functions, boundedness, monotony, convexity
continuity, limits and continuity of functions, uniform continuity, intermediate value theorems, continuity and compactness
differentiability, concept of the derivative, differentiation rules, mean value theorem, local and global extrema, curvature, monotony, convexity
elementary functions, rational functions, root functions, exponential functions, angular functions, hyperbolic functions, real logarithm, inverse trigonometric functions, curve sketching
beginnings of integral calculus

References

Literature:

Bröcker, Theodor: Analysis 1, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 1, Vieweg-Verlag.
Spivak, Michael: Calculus, 4th Edition.

Viele Analysis Bücher sind auch über die Fachbibliothek der FU Berlin elektronisch verfügbar.

Bei Schwierigkeiten mit den Grundbegriffen Menge, Abbildung etc. ist die folgende Ausarbeitung empfehlenswert:

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Claudia Schillings

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Claudia Schillings

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for Analysis I

LV: 19202802

a.In Planung

2 SWS

Claudia Schillings

Practice seminar

Submod: 0084cA1.1.2

Akt: 20.12.2022 13:35

Wed, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Thu, 14:00 - 16:00 (A6/SR 007/008 Seminarraum)

Fri, 14:00 - 16:00 (A3/SR 115)

Tue, 16:00 - 18:00 (A3/ 024 Seminarraum )

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Claudia Schillings

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 007/008 Seminarraum

Claudia Schillings

einmal, ab 20.04.2023, 14:00 - 16:00 (13 Termine)

A3/SR 115

Claudia Schillings

einmal, ab 21.04.2023, 14:00 - 16:00 (14 Termine)

A3/ 024 Seminarraum

Claudia Schillings

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

a.In Planung

4 SWS

Marita Thomas

Lecture

Submod: 0084cA1.2.1

Akt: 20.12.2022 13:54

Tue, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Thu, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Description

Content

Additions to Analysis I. Non-authentic integrals
Uniform convergence of function sequences. Power series. Sentence of Taylor.
Elements of topology. Standardized and metric spaces. Open quantities. Convergence. Completed quantities. Consistency. Compactness
Differential calculus of several variables. Partial, total and continuous differentiability. Block via the inverse function. Block of implicit functions.
Iterated integrals.
Ordinary differential equations. Basic terms, elementary solvable differential equations, existential and unambiguous results for systems.

References

O. Forster: Analysis 1 und 2. Vieweg/Springer.
Königsberger, K: Analysis 1,2, Springer.
E. Behrends: Analysis Band 1 und 2, Vieweg/Springer.
H. Heuser: Lehrbuch der Analysis 1 und 2, Teubner/Springer.

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Marita Thomas

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

T9/SR 005 Übungsraum

Marita Thomas

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

a.In Planung

2 SWS

Marita Thomas

Sven Tornquist

Practice seminar

Submod: 0084cA1.2.2

Akt: 27.01.2023 13:37

Tue, 16:00 - 18:00 (A7/SR 031)

Wed, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

Mon, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Additional appointments

A6/SR 031 Seminarraum

A7/SR 031

Marita Thomas

Sven Tornquist

17.04.2023 10:00 - 18:00

Appointment series

A7/SR 031

Marita Thomas

Sven Tornquist

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Marita Thomas

Sven Tornquist

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Marita Thomas

Sven Tornquist

einmal, ab 24.04.2023, 10:00 - 12:00 (11 Termine)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

a.In Planung

4 SWS

No lecturers

Lecture

Submod: 0084dA1.4.1

Akt: 20.12.2022 13:28

Tue, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Fri, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Description

Content:

Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
fields
Linear equation systems: solvability criteria, Gauss algorithm
Vector spaces: linear independence, generating systems and bases, dimension,
subspaces, quotient spaces, cross products in R3
Linear maps: image and rank, relationship to matrices, behaviour under
change of basis
Dual vector spaces: multilinear forms, alternating and symmetric bilinear
forms, relationship to matices, change of basis
Determinants: Cramer's rule, Eigenvalues and Eigenvectors

Prerequisites:

Participation in the preparatory course (Brückenkurs) is highly recommended.

References

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

No lecturers

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A3/Hs 001 Hörsaal

No lecturers

einmal, ab 21.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.In Planung

2 SWS

No lecturers

Practice seminar

Submod: 0084dA1.4.2

Akt: 20.12.2022 13:29

Wed, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Thu, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Thu, 12:00 - 14:00 (A3/SR 119)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

a.In Planung

4 SWS

Christian Haase

Lecture

Submod: 0084cA1.5.1

Akt: 05.01.2023 17:09

Wed, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Mon, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Description

Contents:

Determinants
Eigenvalues and eigenvectors: diagonalizability, trigonalizability, set of Cayley-Hamilton, Jordanian normal form
Bilinear forms
Vectorräume with scalar product: Euclidean, unitary vectorräume, orthogonal projection, isometries, self-adjusted images, Gram-Schmidt orthonormalization methods, major axis transformation

Prerequisites:
Linear Algebra I
Literature:

Will be mentioned in the lecture.

Additional information

See http://page.mi.fu-berlin.de/werner99/.

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 17.04.2023, 12:00 - 14:00 (12 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

a.In Planung

2 SWS

Jan Sevenster

Practice seminar

Submod: 0084cA1.5.2

Akt: 27.01.2023 13:42

Fri, 08:00 - 10:00 (A3/SR 120)

Fri, 10:00 - 12:00 (T9/046 Seminarraum)

Thu, 16:00 - 18:00 (A3/SR 119)

Thu, 08:00 - 10:00 (A3/ 024 Seminarraum )

Additional appointments

Appointment series

A3/SR 120

Jan Sevenster

einmal, ab 21.04.2023, 08:00 - 10:00 (14 Termine)

T9/046 Seminarraum

Jan Sevenster

einmal, ab 21.04.2023, 10:00 - 12:00 (14 Termine)

A3/SR 119

Jan Sevenster

einmal, ab 20.04.2023, 16:00 - 18:00 (13 Termine)

A3/ 024 Seminarraum

Jan Sevenster

einmal, ab 20.04.2023, 08:00 - 10:00 (13 Termine)

Module: Computer-Oriented Mathematics II (0084dA1.7)

Computer-oriented Mathematics II

LV: 19211901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0084cA1.7.1

Akt: 20.12.2022 15:54

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

Die Auswahl der behandelten numerischen Verfahren enthält Polynominterpolation, Newton-Cotes-Formeln zur numerische Integration und Euler-Verfahren für lineare Differentialgleichungen.

Additional information

Studierende der Mathematik (Monobachelor und Lehramt) und Bioinformatik, sowie Numerikinteressierte aus Physik, Informatik und anderen Natur- und Geisteswissenschaften.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Claudia Schillings

einmal, ab 21.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.In Planung

2 SWS

N.N.

Claudia Schillings

Practice seminar

Submod: 0084cA1.7.2

Akt: 27.01.2023 13:36

Fri, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Mon, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

Wed, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A7/SR 031)

Thu, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Fri, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Tue, 16:00 - 18:00 (A6/SR 009 Seminarraum)

Thu, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Mon, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 21.04.2023, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

N.N.

Claudia Schillings

einmal, ab 24.04.2023, 10:00 - 12:00 (11 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 19.04.2023, 14:00 - 16:00 (14 Termine)

A7/SR 031

N.N.

Claudia Schillings

einmal, ab 03.05.2023, 14:00 - 16:00 (12 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

N.N.

Claudia Schillings

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 21.04.2023, 08:00 - 10:00 (14 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

N.N.

Claudia Schillings

einmal, ab 20.04.2023, 08:00 - 10:00 (13 Termine)

A6/SR 009 Seminarraum

N.N.

Claudia Schillings

einmal, ab 24.04.2023, 08:00 - 10:00 (11 Termine)

Module: Numerics I (0084dA1.9)

Numerics I

LV: 19212001

a.In Planung

4 SWS

Ana Djurdjevac

Lecture

Submod: 0084cA1.9.1

Akt: 10.01.2023 14:19

Wed, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

References

Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Ana Djurdjevac

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Ana Djurdjevac

einmal, ab 17.04.2023, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.In Planung

2 SWS

N.N.

Practice seminar

Submod: 0084cA1.9.2

Akt: 10.01.2023 15:56

Mon, 12:00 - 14:00 (T9/055 Seminarraum)

Fri, 10:00 - 12:00 (1.1.53 Seminarraum E2)

Master's programme in Mathematics

Master's programme in Mathematics (2011 study regulations) (0280b_MA120)

Module: Forschungsmodul Differentialgeometrie (0280bA1.4)

Research Module: Differential Geometrie

LV: 19214411

a.In Planung

2 SWS

Konrad Polthier

Eric Zimmermann

Seminar

Submod: 0280bA1.4.1

Akt: 27.01.2023 13:45

Tue, 12:00 - 14:00 (A3/SR 115)

Description

In this seminar, differential geometric topics will be independently developed based on current research and presented in the form of a talk.

Particular emphasis is placed on the concrete implementation of differential geometric concepts in application scenarios and the questions of discretization and implementation.

Learning objectives are a deeper understanding of differential geometry concepts, as well as problems and solution strategies in their practical use.

Previous knowledge: Differential geometry I

Additional appointments

Appointment series

A3/SR 115

Konrad Polthier

Eric Zimmermann

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Module: Basismodul Diskrete Mathematik I (0280bA3.1)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Module: Basismodul Diskrete Geometrie II (0280bA3.4)

Basic Module: Discrete Geometrie II

LV: 19214901

a.In Planung

4 SWS

Raman Sanyal

Lecture

Submod: 0280bA3.4.1

Akt: 20.12.2022 16:12

Wed, 10:00 - 12:00 (A7/SR 031)

Tue, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Inhalt:

This is the second in a series of three courses on discrete geometry. The aim of the course is a skillful handling of discrete geometric structures with an emphasis on metric and convex geometric properties. In the course we will develop central themes in metric and convex geometry including proof techniques and applications to other areas in mathematics.

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

The course will use material from P. M. Gruber, " Convex and Discrete Geometry" (Springer 2007) and various other sources. There will be brief lecture notes available for course participants with detailed pointers to the literature.

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Appointment series

A7/SR 031

Raman Sanyal

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Raman Sanyal

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

a.In Planung

2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280bA3.4.2

Akt: 20.01.2023 10:56

Fri, 10:00 - 12:00 (A3/ 024 Seminarraum )

Module: Aufbaumodul Diskrete Mathematik III (0280bA3.5)

Discrete Mathematics III: Positional Games

LV: 19215001

a.In Planung

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 20.12.2022 16:13

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Positional Games is a rapidly developing field of combinatorics, whose aim is to systematically develop an extensive mathematical basis for a variety of two-player perfect information games. These range from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method.

Prerequisite is the succesful completion of the modul Discrete Mathematics I (or equivalent, please contact the instructor).

References

J. Beck: Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press, 2008.

D. Hefetz, M. Krivelevich, M. Stojakovic, T. Szabo: Positional Games, Birküser, 2014.

Additional information

Basic Bachelor Algebra, Probability, and Disrete Mathematics.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Discrete Mathematics III: Positional Games

LV: 19215002

a.In Planung

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 20.12.2022 16:13

Wed, 10:00 - 12:00 (A3/SR 115)

Description

Abstract:
Despite the effectiveness of the probabilistic method in extremal combinatorics, explicit constructive approaches remain of paramount importance. On the one hand, they are often superior to purely existential arguments, and, even when they are not, the search for the most efficient deterministic combinatorial structure is naturally motivated by questions of complexity.
The course discusses classic Turan- and Ramsay-type problems of extremal combinatorics from this constructive perspective.
Besides combinatorics, the methods often involve algebraic and probabilistic techniques (affine and projective geometries over finite fields, eigenvalues and quasirandom graphs, the discrete Fourier transform).
For further details please check Prof. Szabó's homepage.

Additional appointments

Appointment series

A3/SR 115

Tibor Szabo

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

Module: Forschungsmodul Diskrete Mathematik (0280bA3.7)

Discrete Mathematics Masterseminar

LV: 19206011

a.In Planung

2 SWS

Tibor Szabo

Seminar

Submod: 0280bA3.7.1

Akt: 20.12.2022 13:39

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A3/SR 119)

Description

Content:
The seminar covers advanced topics in Extremal and Probabilistic Combinatorics.
Target audience:
BMS students, Master students, or advanced Bachelor students.
Prerequisites:
Prerequisite is the successful completion of the modul Discrete Mathematics II or III (or equivalent background: please contact the instructor).

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A3/SR 119

Tibor Szabo

einmal, ab 04.05.2023, 08:00 - 10:00 (11 Termine)

Module: Forschungsmodul Diskrete Geometrie (0280bA3.8)

Research Module: Discrete Geometry

LV: 19206111

a.In Planung

2 SWS

Raman Sanyal

Sophie Rehberg

Seminar

Submod: 0280bA3.8.1

Akt: 10.01.2023 13:00

Tue, 16:00 - 18:00 (A3/019 Seminarraum)

Module: Basismodul Topologie I (0280bA4.1)

Basic module: Topology I

LV: 19205401

a.In Planung

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 20.12.2022 13:37

Tue, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Thu, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Course Overview This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Exercise for Basic Module: Topology I

LV: 19205402

a.In Planung

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.12.2022 13:37

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Module: Aufbaumodul Topologie III (0280bA4.4)

Advanced Module: Topologie III

LV: 19215101

a.In Planung

2 SWS

Holger Reich

Lecture

Submod: 0280bA4.4.1

Akt: 05.01.2023 14:32

Tue, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

This lecture will continue the introduction to algebraic topology. The emphasis will be on homotopy theory: homotopy sets and groups, Puppe sequences, cofibrations and fibrations, the theorem of Blakers-Massey, colimits and limits, the theorem of Hurewicz, introduction to spectral sequences, ...

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Tammo tom Dieck: Algebraic topology, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy Theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Ü: Aufbaumodul: Topologie III

LV: 19215102

a.In Planung

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280bA4.4.2

Akt: 27.01.2023 13:48

Wed, 14:00 - 16:00 (A3/SR 119)

Module: Introductory Module Numerical Analysis III (0280bA5.2)

Basismodul: Numerik III

LV: 19215201

a.In Planung

4 SWS

Volker John

Lecture

Submod: 0280bA5.2.1

Akt: 27.01.2023 13:51

Mon, 14:00 - 16:00 (A3/SR 120)

Mon, 10:00 - 12:00 (A3/SR 120)

Description

The mathematical modeling of many processes in nature and industry leads to partial differential equations. Generally, such equations cannot be solved analytically. It is only possible to compute numerical approximations to the solution on the basis of discretized equations. This course studies discretizations of elliptic partial differential equations. Major topics are finite difference methods and finite element methods.

For more information please see the lecture homepage: http://numerik.mi.fu-berlin.de/wiki/SS_2022/NumericsIII.php

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Voraussetzungen Voraussetzungen für diesen Kurs sind Grundkenntnisse in Mathematik (Analysis I-III) und Numerische Analysis (Numerik I). Etwas Wissen in der Funktionsanalyse hilft viel.

Additional appointments

Appointment series

A3/SR 120

Volker John

einmal, ab 17.04.2023, 14:00 - 16:00 (12 Termine)

A3/SR 120

Volker John

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.In Planung

2 SWS

No lecturers

Practice seminar

Submod: 0280bA5.2.2

Akt: 20.12.2022 16:14

Wed, 16:00 - 18:00 (A3/SR 115)

Module: Aufbaumodul Numerik IV (0280bA5.3)

Inverse Problems

LV: 19223901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0280bA5.3.1

Akt: 27.01.2023 14:03

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

References

The following books will be relevant:

O. P. Le Maître and O. M. Knio. Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Scientific Computation. Springer, New York, 2010.
R. C. Smith. Uncertainty Quantification: Theory, Implementation, and Applications, volume 12 of Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2014.
T. J. Sullivan. Introduction to Uncertainty Quantification. Springer, New York, in press.
D. Xiu. Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, NJ, 2010.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Claudia Schillings

einmal, ab 17.04.2023, 10:00 - 12:00 (14 Termine)

Übung zu Inverse Problems

LV: 19223902

a.In Planung

2 SWS

Vesa Kaarnioja

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.01.2023 10:44

Tue, 10:00 - 12:00 (A6/SR 007/008 Seminarraum)

Module: Ergänzungsmodul Ausgewählte Forschungsthemen (0280bA7.2)

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

a.In Planung

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 19.12.2022 16:09

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Stochastics IV: Stochastic Partial Differential Equations: Classical and New

LV: 19242101

a.In Planung

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.2.1

Akt: 21.12.2022 16:06

Thu, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Description

Content: "Stochastics IV: Stochastic Partial Differential Equations: Classical and New"
We will learn two different methods for solving stochastic partial differential equations. The classical method is based on Ito calculus, and we will use it to solve semilinear SPDEs with space-time white noise in one space dimension. But we will see that in higher dimensions this theory only works for linear equations, and motivated by that we will introduce "paracontrolled distributions“, which we developed in the last years based on ideas from harmonic analysis and rough paths, and which allow us to solve some interesting semilinear equations in higher dimensions. Along the way we will learn about regularity theory for semilinear PDEs, Gaussian Hilbert spaces, and much more.

Ito calculus for Gaussian random measures;
semilinear stochastic PDEs in one dimension;
Schauder estimates;
Gaussian hypercontractivity;
paraproducts and paracontrolled distributions;
local existence and uniqueness for semilinear SPDEs in higher dimensions;
properties of solutions

References

Literature:

Pavliotis, Grigoris, and Andrew Stuart: Multiscale methods: averaging and homogenization. Springer Science & Business Media, 2008.
Bensoussan, Alain, Jacques-Louis Lions, and George Papanicolaou: Asymptotic analysis for periodic structures. Vol. 374. American Mathematical Soc., 2011.

Additional information

Prerequisite: Stochastics I, II.
Recommended: Stochastics III and Functional Analysis.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Nicolas Perkowski

einmal, ab 20.04.2023, 10:00 - 12:00 (14 Termine)

Exercise: Stochastics IV

LV: 19242102

a.In Planung

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.12.2022 16:06

Thu, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Quantum Cryptanalysis

LV: 19320501

a.In Planung

2 SWS

Marian Margraf

Lecture

Submod: 0280bA7.2.1

Akt: 23.01.2023 12:20

Tue, 10:00 - 12:00 (T9/046 Seminarraum)

Description

The lecture aims at a deeper understanding of cryptographic algorithms, especially which design criteria have to be considered for the development of secure encryption algorithms. For that purpose we will get to know and evaluate different cryptanalytic methods for symmetrical and asymmetrical encryption techniques – e.g. linear and differential cryptanalysis on block ciphers, correlation attacks on stream ciphers and algorithms to solve the factorization problem and the discrete logarithm problem. Weaknesses in the implementation, e.g. to exploit side-channel attacks, will be discussed only peripherally.

Additional appointments

Appointment series

T9/046 Seminarraum

Marian Margraf

wöchentlich, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for Cryptanalysis

LV: 19320502

a.In Planung

2 SWS

Marian Margraf

Practice seminar

Submod: 0280bA7.2.2

Akt: 23.01.2023 12:21

Wed, 12:00 - 14:00 (T9/046 Seminarraum)

Module: Ergänzungsmodul Spezielle Aspekte (0280bA7.3)

Discrete Mathematics III: Positional Games

LV: 19215001

a.In Planung

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 20.12.2022 16:13

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Prerequisite is the succesful completion of the modul Discrete Mathematics I (or equivalent, please contact the instructor).

References

J. Beck: Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press, 2008.

D. Hefetz, M. Krivelevich, M. Stojakovic, T. Szabo: Positional Games, Birküser, 2014.

Additional information

Basic Bachelor Algebra, Probability, and Disrete Mathematics.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Discrete Mathematics III: Positional Games

LV: 19215002

a.In Planung

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 20.12.2022 16:13

Wed, 10:00 - 12:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Tibor Szabo

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

Advanced Module: Topologie III

LV: 19215101

a.In Planung

2 SWS

Holger Reich

Lecture

Submod: 0280bA4.4.1

Akt: 05.01.2023 14:32

Tue, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Tammo tom Dieck: Algebraic topology, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy Theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Ü: Aufbaumodul: Topologie III

LV: 19215102

a.In Planung

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280bA4.4.2

Akt: 27.01.2023 13:48

Wed, 14:00 - 16:00 (A3/SR 119)

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.In Planung

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.3.1

Akt: 06.01.2023 15:16

Tue, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Module: Ergänzungsmodul Forschungsseminar (0280bA7.5)

Discrete Mathematics Masterseminar

LV: 19206011

a.In Planung

2 SWS

Tibor Szabo

Seminar

Submod: 0280bA3.7.1

Akt: 20.12.2022 13:39

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A3/SR 119)

Description

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A3/SR 119

Tibor Szabo

einmal, ab 04.05.2023, 08:00 - 10:00 (11 Termine)

Research Module: Discrete Geometry

LV: 19206111

a.In Planung

2 SWS

Raman Sanyal

Sophie Rehberg

Seminar

Submod: 0280bA3.8.1

Akt: 10.01.2023 13:00

Tue, 16:00 - 18:00 (A3/019 Seminarraum)

Research Module: Differential Geometrie

LV: 19214411

a.In Planung

2 SWS

Konrad Polthier

Eric Zimmermann

Seminar

Submod: 0280bA1.4.1

Akt: 27.01.2023 13:45

Tue, 12:00 - 14:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Konrad Polthier

Eric Zimmermann

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

a.In Planung

2 SWS

Luigi Delle Site

Seminar

Submod: 0084dB1.1.1

Akt: 19.12.2022 16:09

Wed, 14:00 - 16:00 (A6/SR 007/008 Seminarraum)

Description

The discussion will concerns both, specific computational coding and conceptual developments.

References

Related Basic Literature:

(1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

(2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

(3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science

Additional information

Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Luigi Delle Site

einmal, ab 19.04.2023, 14:00 - 16:00 (14 Termine)

Seminar Quantum Computational Methods

LV: 19226611

a.In Planung

2 SWS

Luigi Delle Site

Seminar

Submod: 0280bA7.5.1

Akt: 06.01.2023 12:10

Wed, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Description

The seminar will focus on the literature related to thsimulation methods for quantum mechanical systems.
In particular, new development became relevant in the last years, i.e. quantum calculations on quantum computers, and the seminar will treat such novel aspects with the reading and the discussion of material about the latest developments and applications of quantum computing.

References

Related Basic Literature:
(1) David M.Ceperley, Reviews of Modern Physics 67 279 (1995)
(2) Miguel A. Morales, Raymond Clay, Carlo Pierleoni, and David M. Ceperley, Entropy 2014, 16(1), 287-321
(3) P. Hohenberg and W. Kohn, Phys. Rev. 136 (1964) B864-B871

Additional information

At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Luigi Delle Site

einmal, ab 19.04.2023, 08:00 - 10:00 (14 Termine)

Seminar: Advanced delay equations

LV: 19239711

a.In Planung

2 SWS

N.N.

Isabelle Schneider

Seminar

Submod: 0084dB1.1.1

Akt: 10.01.2023 11:10

Thu, 16:00 - 18:00 (A7/SR 140 Seminarraum (Hinterhaus))

Seminar: Advanced Differential Equations

LV: 19239911

a.In Planung

2 SWS

Isabelle Schneider

Seminar

Submod: 0084dB1.1.1

Akt: 21.12.2022 16:12

Thu, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Module: Ergänzungsmodul Stochastik II (0280bA7.7)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Module: Ergänzungsmodul BMS-Fridays (0280bA7.8)

BMS-Freitage

LV: 19223111

a.In Planung

2 SWS

Holger Reich

Seminar

Submod: 0280bA7.8.1

Akt: 16.11.2022 15:59

Fri, 14:00 - 17:00 (T9/Gr. Hörsaal)

Description

The Friday colloquia of BMS represent a common meeting point for Berlin mathematics at Urania Berlin: a colloquium with broad emanation that permits an overview of large-scale connections and insights. In thematic series, the conversation is about “mathematics as a whole,” and we hope to be able to witness some breakthroughs.

Typically, there is a BMS colloquium every other Friday afternoon in the BMS Loft at Urania during term time. BMS Friday colloquia usually start at 2:15 pm. Tea and cookies are served before each talk at 1:00 pm.

More details: https://www.math-berlin.de/academics/bms-fridays

Additional appointments

Appointment series

T9/Gr. Hörsaal

Holger Reich

einmal, ab 28.04.2023, 14:00 - 17:00 (7 Termine)

Module: Complementary Module What is ? (0280bA7.9)

Doktorandenseminar "Was ist eigentlich...?" / "What is...?"

LV: 19217311

a.In Planung

2 SWS

Holger Reich

Seminar

Submod: 0280bA7.9.1

Akt: 16.11.2022 15:59

Fri, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content: The "What is ...?" seminar is a 30-minute weekly seminar that concisely introduces terms and ideas that are fundamental to certain fields of mathematics but may not be familiar in others.
The vast mathematical landscape in Berlin welcomes mathematicians with diverse backgrounds to work side by side, yet their paths often only cross within their individual research groups. To encourage interdisciplinary cooperation and collaboration, the "What is ...?" seminar attempts to initiate contact by introducing essential vocabulary and foundational concepts of the numerous fields represented in Berlin. The casual atmosphere of the seminar invites the audience to ask many questions and the speakers to experiment with their presentation styles.
The location of the seminar rotates among the Urania, FU, TU, and HU. On the weeks when a BMS Friday takes place, the "What is ...?" seminar topic is arranged to coincide with the Friday talk acting as an introductory talk for the BMS Friday Colloquium. For a schedule of the talks and their locations, check the website. The website is updated frequently throughout the semester.

Talks and more detailed information can be found here
Homepage: http://www.math.fu-berlin.de/w/Math/WhatIsSeminar

Additional information

The "What is ...?" seminars are usually held before the BMS Friday seminar to complement the topic of the talk.

Audience: Anybody interested in mathematics is invited to attend the "What is ...?" seminars. This includes Bachelors, Masters, Diplom, and PhD students from any field, as well as researchers like Post-Docs.
Requirements: The speakers assume that the audience has at least a general knowledge of graduate-level mathematics.

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Holger Reich

einmal, ab 28.04.2023, 12:00 - 14:00 (7 Termine)

Mathematics (0280c_MA120)

Module: Introductory Module: Discrete Geometry II (0280cA1.6)

Basic Module: Discrete Geometrie II

LV: 19214901

a.In Planung

4 SWS

Raman Sanyal

Lecture

Submod: 0280bA3.4.1

Akt: 20.12.2022 16:12

Wed, 10:00 - 12:00 (A7/SR 031)

Tue, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Inhalt:

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Appointment series

A7/SR 031

Raman Sanyal

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Raman Sanyal

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

a.In Planung

2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280bA3.4.2

Akt: 20.01.2023 10:56

Fri, 10:00 - 12:00 (A3/ 024 Seminarraum )

Module: Introductory Module: Discrete Mathematics I (0280cA1.7)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Module: Introductory Module: Numerical Analysis III (0280cA1.12)

Basismodul: Numerik III

LV: 19215201

a.In Planung

4 SWS

Volker John

Lecture

Submod: 0280bA5.2.1

Akt: 27.01.2023 13:51

Mon, 14:00 - 16:00 (A3/SR 120)

Mon, 10:00 - 12:00 (A3/SR 120)

Description

For more information please see the lecture homepage: http://numerik.mi.fu-berlin.de/wiki/SS_2022/NumericsIII.php

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Voraussetzungen Voraussetzungen für diesen Kurs sind Grundkenntnisse in Mathematik (Analysis I-III) und Numerische Analysis (Numerik I). Etwas Wissen in der Funktionsanalyse hilft viel.

Additional appointments

Appointment series

A3/SR 120

Volker John

einmal, ab 17.04.2023, 14:00 - 16:00 (12 Termine)

A3/SR 120

Volker John

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.In Planung

2 SWS

No lecturers

Practice seminar

Submod: 0280bA5.2.2

Akt: 20.12.2022 16:14

Wed, 16:00 - 18:00 (A3/SR 115)

Module: Introductory Module: Stochastic Processes II (0280cA1.15)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Module: Introductory Module: Topology I (0280cA1.17)

Basic module: Topology I

LV: 19205401

a.In Planung

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 20.12.2022 13:37

Tue, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Thu, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Course Overview This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Exercise for Basic Module: Topology I

LV: 19205402

a.In Planung

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.12.2022 13:37

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Module: Advanced Module: Discrete Mathematics III (0280cA2.4)

Discrete Mathematics III: Positional Games

LV: 19215001

a.In Planung

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 20.12.2022 16:13

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Prerequisite is the succesful completion of the modul Discrete Mathematics I (or equivalent, please contact the instructor).

References

J. Beck: Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press, 2008.

D. Hefetz, M. Krivelevich, M. Stojakovic, T. Szabo: Positional Games, Birküser, 2014.

Additional information

Basic Bachelor Algebra, Probability, and Disrete Mathematics.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Discrete Mathematics III: Positional Games

LV: 19215002

a.In Planung

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 20.12.2022 16:13

Wed, 10:00 - 12:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Tibor Szabo

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

Module: Advanced Module: Numerical Analysis IV (0280cA2.6)

Inverse Problems

LV: 19223901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0280bA5.3.1

Akt: 27.01.2023 14:03

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

References

The following books will be relevant:

O. P. Le Maître and O. M. Knio. Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Scientific Computation. Springer, New York, 2010.
R. C. Smith. Uncertainty Quantification: Theory, Implementation, and Applications, volume 12 of Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2014.
T. J. Sullivan. Introduction to Uncertainty Quantification. Springer, New York, in press.
D. Xiu. Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, NJ, 2010.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Claudia Schillings

einmal, ab 17.04.2023, 10:00 - 12:00 (14 Termine)

Übung zu Inverse Problems

LV: 19223902

a.In Planung

2 SWS

Vesa Kaarnioja

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.01.2023 10:44

Tue, 10:00 - 12:00 (A6/SR 007/008 Seminarraum)

Module: Advanced Module: Stochastic Processes IV (0280cA2.8)

Stochastics IV: Stochastic Partial Differential Equations: Classical and New

LV: 19242101

a.In Planung

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.2.1

Akt: 21.12.2022 16:06

Thu, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Description

Ito calculus for Gaussian random measures;
semilinear stochastic PDEs in one dimension;
Schauder estimates;
Gaussian hypercontractivity;
paraproducts and paracontrolled distributions;
local existence and uniqueness for semilinear SPDEs in higher dimensions;
properties of solutions

References

Literature:

Pavliotis, Grigoris, and Andrew Stuart: Multiscale methods: averaging and homogenization. Springer Science & Business Media, 2008.
Bensoussan, Alain, Jacques-Louis Lions, and George Papanicolaou: Asymptotic analysis for periodic structures. Vol. 374. American Mathematical Soc., 2011.

Additional information

Prerequisite: Stochastics I, II.
Recommended: Stochastics III and Functional Analysis.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Nicolas Perkowski

einmal, ab 20.04.2023, 10:00 - 12:00 (14 Termine)

Exercise: Stochastics IV

LV: 19242102

a.In Planung

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.12.2022 16:06

Thu, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Module: Advanced Module: Topology III (0280cA2.9)

Advanced Module: Topologie III

LV: 19215101

a.In Planung

2 SWS

Holger Reich

Lecture

Submod: 0280bA4.4.1

Akt: 05.01.2023 14:32

Tue, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Tammo tom Dieck: Algebraic topology, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy Theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Ü: Aufbaumodul: Topologie III

LV: 19215102

a.In Planung

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280bA4.4.2

Akt: 27.01.2023 13:48

Wed, 14:00 - 16:00 (A3/SR 119)

Module: Specialisation Module: Master’s Seminar Differential Geometry (0280cA3.2)

Research Module: Differential Geometrie

LV: 19214411

a.In Planung

2 SWS

Konrad Polthier

Eric Zimmermann

Seminar

Submod: 0280bA1.4.1

Akt: 27.01.2023 13:45

Tue, 12:00 - 14:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Konrad Polthier

Eric Zimmermann

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Module: Specialisation Module: Master’s Seminar Discrete Geometry (0280cA3.3)

Research Module: Discrete Geometry

LV: 19206111

a.In Planung

2 SWS

Raman Sanyal

Sophie Rehberg

Seminar

Submod: 0280bA3.8.1

Akt: 10.01.2023 13:00

Tue, 16:00 - 18:00 (A3/019 Seminarraum)

Module: Specialisation Module: Master’s Seminar Discrete Mathematics (0280cA3.4)

Discrete Mathematics Masterseminar

LV: 19206011

a.In Planung

2 SWS

Tibor Szabo

Seminar

Submod: 0280bA3.7.1

Akt: 20.12.2022 13:39

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A3/SR 119)

Description

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A3/SR 119

Tibor Szabo

einmal, ab 04.05.2023, 08:00 - 10:00 (11 Termine)

Module: Complementary Module: Selected Topics A (0280cA4.1)

Basic module: Topology I

LV: 19205401

a.In Planung

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 20.12.2022 13:37

Tue, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Thu, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Course Overview This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Exercise for Basic Module: Topology I

LV: 19205402

a.In Planung

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.12.2022 13:37

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Basic Module: Discrete Geometrie II

LV: 19214901

a.In Planung

4 SWS

Raman Sanyal

Lecture

Submod: 0280bA3.4.1

Akt: 20.12.2022 16:12

Wed, 10:00 - 12:00 (A7/SR 031)

Tue, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Inhalt:

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Appointment series

A7/SR 031

Raman Sanyal

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Raman Sanyal

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

a.In Planung

2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280bA3.4.2

Akt: 20.01.2023 10:56

Fri, 10:00 - 12:00 (A3/ 024 Seminarraum )

Basismodul: Numerik III

LV: 19215201

a.In Planung

4 SWS

Volker John

Lecture

Submod: 0280bA5.2.1

Akt: 27.01.2023 13:51

Mon, 14:00 - 16:00 (A3/SR 120)

Mon, 10:00 - 12:00 (A3/SR 120)

Description

For more information please see the lecture homepage: http://numerik.mi.fu-berlin.de/wiki/SS_2022/NumericsIII.php

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Voraussetzungen Voraussetzungen für diesen Kurs sind Grundkenntnisse in Mathematik (Analysis I-III) und Numerische Analysis (Numerik I). Etwas Wissen in der Funktionsanalyse hilft viel.

Additional appointments

Appointment series

A3/SR 120

Volker John

einmal, ab 17.04.2023, 14:00 - 16:00 (12 Termine)

A3/SR 120

Volker John

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.In Planung

2 SWS

No lecturers

Practice seminar

Submod: 0280bA5.2.2

Akt: 20.12.2022 16:14

Wed, 16:00 - 18:00 (A3/SR 115)

Module: Complementary Module: Selected Topics B (0280cA4.2)

Basic module: Topology I

LV: 19205401

a.In Planung

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 20.12.2022 13:37

Tue, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Thu, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Course Overview This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Exercise for Basic Module: Topology I

LV: 19205402

a.In Planung

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.12.2022 13:37

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Basic Module: Discrete Geometrie II

LV: 19214901

a.In Planung

4 SWS

Raman Sanyal

Lecture

Submod: 0280bA3.4.1

Akt: 20.12.2022 16:12

Wed, 10:00 - 12:00 (A7/SR 031)

Tue, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Inhalt:

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Appointment series

A7/SR 031

Raman Sanyal

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Raman Sanyal

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

a.In Planung

2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280bA3.4.2

Akt: 20.01.2023 10:56

Fri, 10:00 - 12:00 (A3/ 024 Seminarraum )

Basismodul: Numerik III

LV: 19215201

a.In Planung

4 SWS

Volker John

Lecture

Submod: 0280bA5.2.1

Akt: 27.01.2023 13:51

Mon, 14:00 - 16:00 (A3/SR 120)

Mon, 10:00 - 12:00 (A3/SR 120)

Description

For more information please see the lecture homepage: http://numerik.mi.fu-berlin.de/wiki/SS_2022/NumericsIII.php

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Voraussetzungen Voraussetzungen für diesen Kurs sind Grundkenntnisse in Mathematik (Analysis I-III) und Numerische Analysis (Numerik I). Etwas Wissen in der Funktionsanalyse hilft viel.

Additional appointments

Appointment series

A3/SR 120

Volker John

einmal, ab 17.04.2023, 14:00 - 16:00 (12 Termine)

A3/SR 120

Volker John

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.In Planung

2 SWS

No lecturers

Practice seminar

Submod: 0280bA5.2.2

Akt: 20.12.2022 16:14

Wed, 16:00 - 18:00 (A3/SR 115)

Module: Complementary Module: Selected Topics C (0280cA4.3)

Basic module: Topology I

LV: 19205401

a.In Planung

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 20.12.2022 13:37

Tue, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Thu, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Course Overview This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

Exercise for Basic Module: Topology I

LV: 19205402

a.In Planung

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.12.2022 13:37

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Stochastics II

LV: 19212901

a.In Planung

4 SWS

Felix Höfling

Lecture

Submod: 0084cB2.4.1

Akt: 10.01.2023 13:30

Thu, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

A3/Hs 001 Hörsaal

Felix Höfling

19.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

26.04.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

03.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

10.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

17.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

24.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

31.05.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

07.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

14.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

21.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

28.06.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

05.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

12.07.2023 14:00 - 16:00

A3/Hs 001 Hörsaal

Felix Höfling

19.07.2023 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Felix Höfling

einmal, ab 20.04.2023, 14:00 - 16:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.In Planung

2 SWS

Felix Höfling

Nicolas Perkowski

Practice seminar

Submod: 0084cB2.4.2

Akt: 09.01.2023 17:37

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

Nicolas Perkowski

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

Discrete Mathematics I

LV: 19214701

a.In Planung

4 SWS

Tibor Szabo

Ralf Borndörfer

Lecture

Submod: 0084cB3.2.1

Akt: 20.12.2022 16:08

Tue, 14:00 - 16:00 (T9/055 Seminarraum)

Thu, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

T9/055 Seminarraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 18.04.2023, 14:00 - 16:00 (14 Termine)

T9/SR 005 Übungsraum

Tibor Szabo

Ralf Borndörfer

einmal, ab 20.04.2023, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.In Planung

2 SWS

Silas Rathke

Practice seminar

Submod: 0084cB3.2.2

Akt: 31.01.2023 14:06

Thu, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Tue, 16:00 - 18:00 (T9/SR 005 Übungsraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Silas Rathke

einmal, ab 20.04.2023, 10:00 - 12:00 (13 Termine)

T9/SR 005 Übungsraum

Silas Rathke

einmal, ab 18.04.2023, 16:00 - 18:00 (14 Termine)

Basic Module: Discrete Geometrie II

LV: 19214901

a.In Planung

4 SWS

Raman Sanyal

Lecture

Submod: 0280bA3.4.1

Akt: 20.12.2022 16:12

Wed, 10:00 - 12:00 (A7/SR 031)

Tue, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Description

Inhalt:

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Appointment series

A7/SR 031

Raman Sanyal

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Raman Sanyal

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

a.In Planung

2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280bA3.4.2

Akt: 20.01.2023 10:56

Fri, 10:00 - 12:00 (A3/ 024 Seminarraum )

Basismodul: Numerik III

LV: 19215201

a.In Planung

4 SWS

Volker John

Lecture

Submod: 0280bA5.2.1

Akt: 27.01.2023 13:51

Mon, 14:00 - 16:00 (A3/SR 120)

Mon, 10:00 - 12:00 (A3/SR 120)

Description

For more information please see the lecture homepage: http://numerik.mi.fu-berlin.de/wiki/SS_2022/NumericsIII.php

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Voraussetzungen Voraussetzungen für diesen Kurs sind Grundkenntnisse in Mathematik (Analysis I-III) und Numerische Analysis (Numerik I). Etwas Wissen in der Funktionsanalyse hilft viel.

Additional appointments

Appointment series

A3/SR 120

Volker John

einmal, ab 17.04.2023, 14:00 - 16:00 (12 Termine)

A3/SR 120

Volker John

einmal, ab 17.04.2023, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.In Planung

2 SWS

No lecturers

Practice seminar

Submod: 0280bA5.2.2

Akt: 20.12.2022 16:14

Wed, 16:00 - 18:00 (A3/SR 115)

Module: Complementary Module: Specific Questions A (0280cA4.4)

Discrete Mathematics III: Positional Games

LV: 19215001

a.In Planung

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 20.12.2022 16:13

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Prerequisite is the succesful completion of the modul Discrete Mathematics I (or equivalent, please contact the instructor).

References

J. Beck: Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press, 2008.

D. Hefetz, M. Krivelevich, M. Stojakovic, T. Szabo: Positional Games, Birküser, 2014.

Additional information

Basic Bachelor Algebra, Probability, and Disrete Mathematics.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Discrete Mathematics III: Positional Games

LV: 19215002

a.In Planung

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 20.12.2022 16:13

Wed, 10:00 - 12:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Tibor Szabo

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

Advanced Module: Topologie III

LV: 19215101

a.In Planung

2 SWS

Holger Reich

Lecture

Submod: 0280bA4.4.1

Akt: 05.01.2023 14:32

Tue, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Tammo tom Dieck: Algebraic topology, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy Theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Ü: Aufbaumodul: Topologie III

LV: 19215102

a.In Planung

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280bA4.4.2

Akt: 27.01.2023 13:48

Wed, 14:00 - 16:00 (A3/SR 119)

Inverse Problems

LV: 19223901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0280bA5.3.1

Akt: 27.01.2023 14:03

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

References

The following books will be relevant:

O. P. Le Maître and O. M. Knio. Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Scientific Computation. Springer, New York, 2010.
R. C. Smith. Uncertainty Quantification: Theory, Implementation, and Applications, volume 12 of Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2014.
T. J. Sullivan. Introduction to Uncertainty Quantification. Springer, New York, in press.
D. Xiu. Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, NJ, 2010.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Claudia Schillings

einmal, ab 17.04.2023, 10:00 - 12:00 (14 Termine)

Übung zu Inverse Problems

LV: 19223902

a.In Planung

2 SWS

Vesa Kaarnioja

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.01.2023 10:44

Tue, 10:00 - 12:00 (A6/SR 007/008 Seminarraum)

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.In Planung

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.3.1

Akt: 06.01.2023 15:16

Tue, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

a.In Planung

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 19.12.2022 16:09

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Stochastics IV: Stochastic Partial Differential Equations: Classical and New

LV: 19242101

a.In Planung

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.2.1

Akt: 21.12.2022 16:06

Thu, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Description

Ito calculus for Gaussian random measures;
semilinear stochastic PDEs in one dimension;
Schauder estimates;
Gaussian hypercontractivity;
paraproducts and paracontrolled distributions;
local existence and uniqueness for semilinear SPDEs in higher dimensions;
properties of solutions

References

Literature:

Pavliotis, Grigoris, and Andrew Stuart: Multiscale methods: averaging and homogenization. Springer Science & Business Media, 2008.
Bensoussan, Alain, Jacques-Louis Lions, and George Papanicolaou: Asymptotic analysis for periodic structures. Vol. 374. American Mathematical Soc., 2011.

Additional information

Prerequisite: Stochastics I, II.
Recommended: Stochastics III and Functional Analysis.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Nicolas Perkowski

einmal, ab 20.04.2023, 10:00 - 12:00 (14 Termine)

Exercise: Stochastics IV

LV: 19242102

a.In Planung

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.12.2022 16:06

Thu, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Module: Complementary Module: Specific Questions B (0280cA4.5)

Discrete Mathematics III: Positional Games

LV: 19215001

a.In Planung

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 20.12.2022 16:13

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Prerequisite is the succesful completion of the modul Discrete Mathematics I (or equivalent, please contact the instructor).

References

J. Beck: Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press, 2008.

D. Hefetz, M. Krivelevich, M. Stojakovic, T. Szabo: Positional Games, Birküser, 2014.

Additional information

Basic Bachelor Algebra, Probability, and Disrete Mathematics.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Discrete Mathematics III: Positional Games

LV: 19215002

a.In Planung

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 20.12.2022 16:13

Wed, 10:00 - 12:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Tibor Szabo

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

Advanced Module: Topologie III

LV: 19215101

a.In Planung

2 SWS

Holger Reich

Lecture

Submod: 0280bA4.4.1

Akt: 05.01.2023 14:32

Tue, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Tammo tom Dieck: Algebraic topology, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy Theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Ü: Aufbaumodul: Topologie III

LV: 19215102

a.In Planung

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280bA4.4.2

Akt: 27.01.2023 13:48

Wed, 14:00 - 16:00 (A3/SR 119)

Inverse Problems

LV: 19223901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0280bA5.3.1

Akt: 27.01.2023 14:03

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

References

The following books will be relevant:

O. P. Le Maître and O. M. Knio. Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Scientific Computation. Springer, New York, 2010.
R. C. Smith. Uncertainty Quantification: Theory, Implementation, and Applications, volume 12 of Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2014.
T. J. Sullivan. Introduction to Uncertainty Quantification. Springer, New York, in press.
D. Xiu. Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, NJ, 2010.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Claudia Schillings

einmal, ab 17.04.2023, 10:00 - 12:00 (14 Termine)

Übung zu Inverse Problems

LV: 19223902

a.In Planung

2 SWS

Vesa Kaarnioja

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.01.2023 10:44

Tue, 10:00 - 12:00 (A6/SR 007/008 Seminarraum)

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.In Planung

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.3.1

Akt: 06.01.2023 15:16

Tue, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

a.In Planung

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 19.12.2022 16:09

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Stochastics IV: Stochastic Partial Differential Equations: Classical and New

LV: 19242101

a.In Planung

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.2.1

Akt: 21.12.2022 16:06

Thu, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Description

Ito calculus for Gaussian random measures;
semilinear stochastic PDEs in one dimension;
Schauder estimates;
Gaussian hypercontractivity;
paraproducts and paracontrolled distributions;
local existence and uniqueness for semilinear SPDEs in higher dimensions;
properties of solutions

References

Literature:

Pavliotis, Grigoris, and Andrew Stuart: Multiscale methods: averaging and homogenization. Springer Science & Business Media, 2008.
Bensoussan, Alain, Jacques-Louis Lions, and George Papanicolaou: Asymptotic analysis for periodic structures. Vol. 374. American Mathematical Soc., 2011.

Additional information

Prerequisite: Stochastics I, II.
Recommended: Stochastics III and Functional Analysis.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Nicolas Perkowski

einmal, ab 20.04.2023, 10:00 - 12:00 (14 Termine)

Exercise: Stochastics IV

LV: 19242102

a.In Planung

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.12.2022 16:06

Thu, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Module: Complementary Module: Specific Questions C (0280cA4.6)

Discrete Mathematics III: Positional Games

LV: 19215001

a.In Planung

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 20.12.2022 16:13

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Prerequisite is the succesful completion of the modul Discrete Mathematics I (or equivalent, please contact the instructor).

References

J. Beck: Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press, 2008.

D. Hefetz, M. Krivelevich, M. Stojakovic, T. Szabo: Positional Games, Birküser, 2014.

Additional information

Basic Bachelor Algebra, Probability, and Disrete Mathematics.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Practice seminar for Discrete Mathematics III: Positional Games

LV: 19215002

a.In Planung

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 20.12.2022 16:13

Wed, 10:00 - 12:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Tibor Szabo

einmal, ab 19.04.2023, 10:00 - 12:00 (14 Termine)

Advanced Module: Topologie III

LV: 19215101

a.In Planung

2 SWS

Holger Reich

Lecture

Submod: 0280bA4.4.1

Akt: 05.01.2023 14:32

Tue, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Tammo tom Dieck: Algebraic topology, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy Theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 18.04.2023, 10:00 - 12:00 (14 Termine)

Ü: Aufbaumodul: Topologie III

LV: 19215102

a.In Planung

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280bA4.4.2

Akt: 27.01.2023 13:48

Wed, 14:00 - 16:00 (A3/SR 119)

Inverse Problems

LV: 19223901

a.In Planung

2 SWS

Claudia Schillings

Lecture

Submod: 0280bA5.3.1

Akt: 27.01.2023 14:03

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

References

The following books will be relevant:

O. P. Le Maître and O. M. Knio. Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Scientific Computation. Springer, New York, 2010.
R. C. Smith. Uncertainty Quantification: Theory, Implementation, and Applications, volume 12 of Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2014.
T. J. Sullivan. Introduction to Uncertainty Quantification. Springer, New York, in press.
D. Xiu. Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, NJ, 2010.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Claudia Schillings

einmal, ab 17.04.2023, 10:00 - 12:00 (14 Termine)

Übung zu Inverse Problems

LV: 19223902

a.In Planung

2 SWS

Vesa Kaarnioja

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.01.2023 10:44

Tue, 10:00 - 12:00 (A6/SR 007/008 Seminarraum)

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.In Planung

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.3.1

Akt: 06.01.2023 15:16

Tue, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

a.In Planung

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 19.12.2022 16:09

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Stochastics IV: Stochastic Partial Differential Equations: Classical and New

LV: 19242101

a.In Planung

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.2.1

Akt: 21.12.2022 16:06

Thu, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Description

Ito calculus for Gaussian random measures;
semilinear stochastic PDEs in one dimension;
Schauder estimates;
Gaussian hypercontractivity;
paraproducts and paracontrolled distributions;
local existence and uniqueness for semilinear SPDEs in higher dimensions;
properties of solutions

References

Literature:

Pavliotis, Grigoris, and Andrew Stuart: Multiscale methods: averaging and homogenization. Springer Science & Business Media, 2008.
Bensoussan, Alain, Jacques-Louis Lions, and George Papanicolaou: Asymptotic analysis for periodic structures. Vol. 374. American Mathematical Soc., 2011.

Additional information

Prerequisite: Stochastics I, II.
Recommended: Stochastics III and Functional Analysis.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Nicolas Perkowski

einmal, ab 20.04.2023, 10:00 - 12:00 (14 Termine)

Exercise: Stochastics IV

LV: 19242102

a.In Planung

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.12.2022 16:06

Thu, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Module: Complementary Module: Current Research Topics A (0280cA4.7)

Discrete Mathematics Masterseminar

LV: 19206011

a.In Planung

2 SWS

Tibor Szabo

Seminar

Submod: 0280bA3.7.1

Akt: 20.12.2022 13:39

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A3/SR 119)

Description

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 19.04.2023, 12:00 - 14:00 (14 Termine)

A3/SR 119

Tibor Szabo

einmal, ab 04.05.2023, 08:00 - 10:00 (11 Termine)

Research Module: Discrete Geometry

LV: 19206111

a.In Planung

2 SWS

Raman Sanyal

Sophie Rehberg

Seminar

Submod: 0280bA3.8.1

Akt: 10.01.2023 13:00

Tue, 16:00 - 18:00 (A3/019 Seminarraum)

Research Module: Differential Geometrie

LV: 19214411

a.In Planung

2 SWS

Konrad Polthier

Eric Zimmermann

Seminar

Submod: 0280bA1.4.1

Akt: 27.01.2023 13:45

Tue, 12:00 - 14:00 (A3/SR 115)

Description

Additional appointments

Appointment series

A3/SR 115

Konrad Polthier

Eric Zimmermann

einmal, ab 18.04.2023, 12:00 - 14:00 (14 Termine)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

a.In Planung