This course will discuss more advanced topics in polyhedral geometry, with a view toward plane algebraic curves. This will also include a first glimpse of tropical geometry.
Prerequisites: Discrete Geometry I (polytopes [JT, Chap.3], linear optimization [JT, Chap.4], convex hull algorithms [JT, Chap.5]). While the bulk of the necessary algebra will be explained in the course, some knowledge of basic undergraduate algebra helps (e.g., it is useful to know that ideals in polynomial rings are finitely generated).
This is a BMS Area 5 Core Course. It continues Discrete Geometry I.
- Trainer/in: Marcel Wack