Mathematics 697CP - ST- Convex Polytopes

This course is an introduction to the theory of convex polytopes and their applications to algebraic combinatorics. The course will cover basic facts and properties of polytopes including faces of polytopes, valuation theory, Ehrhart theory, triangulations, and zonotopes. We will also tentatively cover the following families of polytopes with interest in other fields including root polytopes, flow polytopes, polytopes from partially ordered sets, and generalized permutahedra.

Open to Graduate students only. Pre-requisite: A course in Discrete Structures at the level of Math 455 at UMass-Amherst
Co-requisite: Math 797U Lie algebras is recommended for later parts of the course