Ehrhart polynomials

Daniel Kiteck

Friday, April 23, 2004
11:00 am, 845 Patterson Office Tower

Abstract:

For a lattice polytope P the Ehrhart polynomial is a function which counts the number of lattice points in the n-fold dilated polytope nP. In this talk I will sketch MacDonald's proof of the volume of a lattice polyhedron. I will also review some facts about Ehrhart polynomials and recent results of Beck, De Loera, Develin, Pfeifle and Stanley.