Resumen de Weighted Ehrhart theory and orbifold cohomology

Alan Stapledon

• We introduce the notion of a weighted d-vector of a lattice polytope. Although the definition is motivated by motivic integration, we study weighted d-vectors from a combinatorial perspective. We present a version of Ehrhart Reciprocity and prove a change of variables formula. We deduce a new geometric interpretation of the coefficients of the Ehrhart d-vector. More specifically, they are sums of dimensions of orbifold cohomology groups of a toric stack