Title:  The Hilbert Series of Algebras of the Veronese Type

Abstract:  Algebras of the Veronese type are semigroup algebras that have attracted considerable attention from the algebra and algebraic combinatorics communities.  In 1996, Sturmfels described Groebner bases for presentations of these algebras, and in 1997 De Negri and Hibi classified those that are Gorenstein.  In his 2005 paper "The Hilbert Series of Algebras of the Veronese Type," Mordechai Katzman added to these results by providing an explicit formula for the Hilbert series of these algebras.  In this talk, we will describe Katzman's formula and its connections to the combinatorics of a family of polytopes known as hypersimplices.