2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114241We consider a formula of Stanley that expresses the Ehrhart generating polynomial of a polyhedral complex in terms of the h-polynomials of toric varieties. We prove that the coefficients in this expression are all non-negative and show that these coefficients can be found using the decomposition theorem in intersection cohomology.7 pages, Snowbird talkAlgebraic GeometryCombinatorics52B20; 14M25; 14F43text