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Aufbaumodul: Algebra III W22/23
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Description

Dies ist der dritte Teil einer dreisemestrigen Vorlesungsreihe zur Algebraischen Geometrie. Er behandelt die Sprache der Schemata, grundlegende Resultate zur Kohomologie von Garben auf Schemata und den Beginn der Theorie der linearen algebraischen Gruppen bzw. affinen Gruppenschemata.

Zu den Themen gehören:

  • Cech-Kohomologie

  • Schemata

  • die Kohomologie affiner Schemata

  • projektive Räume, Geradenbündel auf projektiven Räumen und ihre Kohomologie

  • Gruppenschemata, algebraische Gruppen

 

Literatur

 

  • A. Borel: Linear algebraic groups, 2. erw. Aufl., Graduate Texts in Mathematics 126, New York etc.: Springer-Verlag, 1991, x+288 S.

  • R. Hartshorne: Algebraic geometry, Graduate Texts in Mathematics 52, New York-Heidelberg-Berlin: Springer-Verlag, 1983, xvi+496 S.
    Online Ansicht (über FU)

  • W.C. Waterhouse: Introduction to affine group schemes, Graduate Texts in Mathematics 66, New York, Heidelberg, Berlin: Springer-Verlag, 1979, xi+164 S.

 

Zusätzliche Informationen

 

Die Vorlesung wird live über das Internet in Form von Webex-Meetings gehalten; Di, 12-14Uhr.

http://userpage.fu-berlin.de/~aschmitt/AlgIII21.html

 
Basic Course Info
Course No Course Type Hours
19222301 Vorlesung 2
19222302 Übung 2
Time Span 19.10.2022 - 28.02.2023
Instructors
Klaus Altmann
Anna-Lena Winz
Study Regulation
0089c_MA120 2014, MSc Informatik (Mono), 120 LPs
0280b_MA120 2011, MSc Mathematik (Mono), 120 LPs
0280c_MA120 2018, MSc Mathematik (Mono), 120 LP

Aufbaumodul: Algebra III W22/23
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Main Events
Day Time Location Details
Wednesday 16-18 Hs A (Raum B.006, 200 Pl.) 2022-10-19 - 2023-02-15
Accompanying Events
Day Time Location Details
Wednesday 10:15-11:45 A3 120 Problems session

Aufbaumodul: Algebra III W22/23
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Most Recent Announcement

2022-12-02:  Sound files available

Dear Algebra-3-audience,

I have now created four soundfiles fitting the videos of the double class from 11/16. You should listen to them simultaneously with the mute video files published before. You can find everything on the web page of my class.

So far, I have failed to merge them via ffmpeg - the results had always stayed mute. If one can tell me the right command line to do this, then I can upload the combined version.

Best regards,

Klaus Altmann

 

 



Published by: Klaus Altmann
Older announcements
2022-10-18
Published by: Anna-Lena Winz
Finding a new timeslot for the exercise class

Dear students,

It seems that the current time slot for the exercise class is not good for some of you.

Since all your time tables are probably quite different, I ask you to fill out the doodle.

https://nuudel.digitalcourage.de/vEpWekK3CX3qPMX1

I will try to find a room then for the most popular time slot.

Best, Anna-Lena

Aufbaumodul: Algebra III W22/23
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