Lattice polytopes in representation theory and geometry

Job Candidate Talk
Tuesday, February 4, 2020 - 11:00am for 1 hour (actually 50 minutes)
Skiles 005
Ricky Liu – Math, North Carolina State University –
Prasad Tetali

Lattice polytopes play an important role in combinatorics due to their intricate geometric structure as well as their enumerative properties. In this talk, we will discuss several instances in which lattice point enumeration of lattice polytopes relates to problems in algebraic combinatorics, particularly the representation theory of GL(n) and related groups. We will also see how certain types of algebraic constructions have polytopal counterparts. This talk is based on joint work with Karola Mészáros and Avery St. Dizier.