Title: Spanning Lattice Polytopes and the Uniform Position
Speaker: Johannes Hofscheier (McMaster)
Abstract: A lattice polytope is called spanning if its lattice points affinely span the ambient lattice. In this talk, I will present recent joint work with Lukas Katthan and Benjamin Nill, where we generalize Harris' Uniform Position Principle to obtain new inequalities for the h*-vector of spanning lattice polytopes. This extends Hibi's inequality for polytopes with interior lattice points, as well as certain inequalities due to Stanley.
Seminar URL: https://research.math.osu.edu/agseminar/