Abstract for the talk on 14.12.2017 (14:00 h)Seminar on Nonlinear Algebra
Akihiro Higashitani (Kyoto Sangyo University)
Characterization problem on Ehrhart polynomials of lattice polytopes
14.12.2017, 14:00 h, MPI für Mathematik in den Naturwissenschaften Leipzig, E1 05 (Leibniz-Saal)
One of the most important invariants of a lattice polytope is the Ehrhart polynomial encoding the number of lattice points contained in its integral dilation. In this talk, after surveying the Ehrhart polynomials of lattice polytopes and their fundamental properties, we will focus on the characterization problem on the Ehrhart polynomials and give some recent results.