This is the first in a series of three courses on discrete geometry. The aim of the course is a skillful handling of discrete geometric structures including analysis and proof techniques. The material will be a selection of the following topics:
Basic structures in discrete geometry
polyhedra and polyhedral complexes
configurations of points, hyperplanes, subspaces
Subdivisions and triangulations (including Delaunay and Voronoi)
For students with an interest in discrete mathematics and geometry, this is the starting point to specialize in discrete geometry. The topics addressed in the course supplement and deepen the understanding for discrete-geometric structures appearing in differential geometry, topology, combinatorics, and algebraic geometry.
G.M. Ziegler "Lectures in Polytopes"
J. Matousek "Lectures on Discrete Geometry"
Further literature will be announced in class.
Solid background in linear algebra. Knowledge in combinatorics and geometry is advantageous.
Diskrete Geometrie I (Klausur 1)
27.02.2023 12:00 - 14:00
Diskrete Geometrie I (Klausur 2)
27.03.2023 12:00 - 14:00
A3/ 024 Seminarraum
wöchentlich, ab 18.10.2022, 10:00 - 12:00 (16 Termine)
A6/SR 032 Seminarraum
wöchentlich, ab 19.10.2022, 10:00 - 12:00 (16 Termine)