Liam Solus: Cosmological polytopes: an update

Abstract: The cosmological polytope, defined for any undirected graph G, was introduced as a discrete geometry mechanism for the computation of wavefunctions associated to scalar models of the universe in cosmology. The theory of positive geometries dictates that subdivisions of this polytope provide formulas for the computation of these wavefunctions, which are particularly simple when the subdivision is a triangulation. This motivates the study of standard problems in discrete geometry for cosmological polytopes, including the identification of triangulations and the computation of the Ehrhart h^*-polynomial. In this talk, we give an update on the known results regarding these investigations.