Abstract

Speaker: Kathryn Nyman, Texas A&M

Title: Inequalities for the h and flag h-vectors of geometric lattices

Abstract: Geometric lattices arise out of the structure of arrangements of points in space. Two enumerative invariants associated to geometric lattices are the h- and flag h-vectors. The flag h-vector is associated to descents of chain labels in the lattice and gives information about certain polytopes associated to oriented matroids (zonotopes). We will take a brief look at these vectors, the inequalities they satisfy and the geometric lattices which minimize and maximize them.