# Discrete CATS Seminar

Discrete CATS Seminar

Note special day and time!

Speaker: JiYoon Jung, Marshall University

Title: Lattice path matroid polytopes

Abstract: A lattice path matroid is a transversal matroid

corresponding to a pair of lattice paths on the plane. A matroid base

polytope is the polytope whose vertices are the incidence vectors of

the bases of the given matroid. In this talk, we study the facial

structures of matroid base polytopes corresponding to lattice path

matroids. In the case of a border strip, we show that all faces of a

lattice path matroid polytope can be described by certain subsets of

deletions, contractions, and direct sums. In particular, we express

them in terms of the lattice path obtained from the border

strip. Subsequently, the facial structures of a lattice path matroid

polytope for a general case are explained in terms of certain tilings

of skew shapes inside the given region.

Zoom meeting number: 868 0578 9053