Advanced Module: Discrete Geometry III
Ansgar Freyer
Additional information / Pre-requisites
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.
Comments
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.
Suggested reading
Will be announced in class.
16 Class schedule
Regular appointments
Tue, 2025-10-14 10:00 - 12:00 Tue, 2025-10-21 10:00 - 12:00 Tue, 2025-10-28 10:00 - 12:00 Tue, 2025-11-04 10:00 - 12:00 Tue, 2025-11-11 10:00 - 12:00 Tue, 2025-11-18 10:00 - 12:00 Tue, 2025-11-25 10:00 - 12:00 Tue, 2025-12-02 10:00 - 12:00 Tue, 2025-12-09 10:00 - 12:00 Tue, 2025-12-16 10:00 - 12:00 Tue, 2026-01-06 10:00 - 12:00 Tue, 2026-01-13 10:00 - 12:00 Tue, 2026-01-20 10:00 - 12:00 Tue, 2026-01-27 10:00 - 12:00 Tue, 2026-02-03 10:00 - 12:00 Tue, 2026-02-10 10:00 - 12:00