Advanced Module: Discrete Geometry III
Pavle Blagojevic
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, 2024-10-15 14:00 - 16:00 Tue, 2024-10-22 14:00 - 16:00 Tue, 2024-10-29 14:00 - 16:00 Tue, 2024-11-05 14:00 - 16:00 Tue, 2024-11-12 14:00 - 16:00 Tue, 2024-11-19 14:00 - 16:00 Tue, 2024-11-26 14:00 - 16:00 Tue, 2024-12-03 14:00 - 16:00 Tue, 2024-12-10 14:00 - 16:00 Tue, 2024-12-17 14:00 - 16:00 Tue, 2025-01-07 14:00 - 16:00 Tue, 2025-01-14 14:00 - 16:00 Tue, 2025-01-21 14:00 - 16:00 Tue, 2025-01-28 14:00 - 16:00 Tue, 2025-02-04 14:00 - 16:00 Tue, 2025-02-11 14:00 - 16:00