Robert Davis: Examining the Ehrhart series of reflexive polytopes

The Ehrhart series of a lattice polytope encodes combinatorial data about its integer scalings. From this series, we can determine properties of the polytope that may have been otherwise obscured, such as when a corresponding semigroup algebra is Gorenstein. In this talk, we will discuss an open question about the form of the Ehrhart series for integrally closed, reflexive polytopes and describe partial progress in the case of simplices.