Speaker:  Elena Hafner, Cornell University
Title: On the Supports of Vexillary Grothendieck Polynomials
Time: 2:30 PM, Monday, September 25, 2023
Place:  Malott 206

Abstract: First introduced by Lascoux and Schützenberger in 1982, Grothendieck polynomials are a family of polynomials indexed by permutations in $S_n$. For Grothendieck polynomials associated to vexillary ($2143$-avoiding) permutations, we show that their supports have several nice properties, addressing special cases of conjectures due to Mészáros, Setiabrata, and St. Dizier; Mészáros and St. Dizier; and Huh, Matherne, Mészáros and St. Dizier. In particular, we show that the supports of homogenized Grothendieck polynomials for vexillary permutations are M-convex (i.e. the support is the set of integer points of a generalized permutahedron). Parts of this talk are based on joint work with Mészáros, Setiabrata, and St. Dizier.


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