Speaker:  McCabe Olsen, University of Kentucky

Title:  Level algebras and lecture hall polytopes

Abstract:

Given a family of lattice polytopes, a common question in Ehrhart theory is classifying the which polytopes in the family are Gorenstein. A less common question is classifying which polytopes in the family admit level semigroup algebras, a generalization of the Gorenstein property. In this talk, we consider these questions for lecture hall polytopes. We provide a characterization of the Gorenstein property for a large subfamily of lecture hall polytopes. Additionally, we also provide a complete characterization for the level property.

This is joint work with Florian Kohl

For further information, see Discrete CATS Seminar