Title of the course: Polyhedral Combinatorics
Instructor: Dr. Zafeirakis Zafeirakopoulos
Institution: Gebze Technical University
Dates: 9-15 September 2019
Prerequisites: Abstract Algebra, mathematical maturity
Level: Graduate, advanced undergraduate
Abstract:
We will study polytopes and the generating functions of their lattice
points.
After learning how to compute generating functions, we will use them for
attacking problems related to integer partitions. Finally, we will see
the connection between discrete and continuous volume and how to compute
them.
1. Introduction to Polyhedra and friends
2. Combinatorics of Polytopes
3. Generating functions of lattice points in cones and polyhedra
4. Applications in number theory (integer partitions)
5. Computing volumes of polytopes
Language: EN