Date:
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Martha Yip, University of Kentucky
Speaker: Martha Yip, University of Kentucky
Title: The volume of the caracol polytope
Abstract: A number of flow polytopes have volumes that are products of nice combinatorial quantities, but perhaps surprisingly, there are no known combinatorial proofs of these formulas. In this talk, I will give a combinatorial interpretation of the Lidskii volume formula of Baldoni and Vergne, and use this to prove that the volume of the caracol polytope is the product of a Catalan number and the number of parking functions of length n. This is joint work with Benedetti, Gonzalez D'Leon, Hanusa, Harris, Khare and Morales.
Event Series: