This is the third in a series of three courses on discrete geometry. This advanced course will cover a selection of the following topics (depending on the interests of the audience):
Intersection combinatorics of convex sets, such as theorems of Radon, Helly, Tverberg and their variants, convex neural codes
Geometry of point sets, such as triangulations of point sets, Rips complexes and the 'shape' of data
Combinatorial and topological properties of simplicial complexes, such as random complexes, triangulations of manifolds
Will be announced in class.
The target audience are students with a solid background in discrete geometry and/or convex geometry (en par with Discrete Geometry I & II). The topic of this course is a state-of-art of advanced topics in discrete geometry that find applications and incarnations in differential geometry, topology, combinatorics, and algebraic geometry. Requirements: Preferably Discrete Geometry I and II.
KöLu24-26/SR 017 (vorrang Schülerlabor)
wöchentlich, ab 04.11.2021, 10:00 - 12:00 (22 Termine)