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):
1. Oriented Matroids along the lines of the book Oriented Matroids by Björner, Las Vergnas, Sturmfels, White, and Ziegler; and/or
2. Triangulations along the lines of the book Triangulations by de Loera, Rambau, and Santos; and/or
3. Discriminants and tropical geometry along the lines of the book Discriminants, Resultants, and multidimensional determinants by Gelfand, Kapranov, and Zelevinsky; and/or
4. Combinatorics and commutative algebra along the lines of the book Combinatorics and commutative algebra by Stanley.
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.
A7/SR 140 Seminarraum (Hinterhaus)
wöchentlich, ab 20.10.2022, 10:00 - 12:00 (16 Termine)