Tropical Seminar: "Kneser's theorem and inequalities in Ehrhart theory"
Fri, October 23, 2009 1:00PM - 2:00PM
| Time: | 1:00PM - 2:00PM |
| Location: | Simons Auditorium |
| Speakers: | Alan Stapledon, Alan Stapledon |
| Abstract: | We demonstrate how additive number theory can be used to produce new classes of inequalities in the theory of enumeration of
lattice points in polytopes. More specifically, we use a classical result of Kneser to produce new inequalities between the coefficients of the Ehrhart $h^*$-vector of a lattice polytope. As an application, we deduce all possible `balanced' inequalities between the coefficients of the Ehrhart $h^*$-vector of a lattice polytope containing an interior lattice point, in dimension at most $6$. |
