Linus Setiabrata (MIT) -- Newton polytopes of Schubert and Grothendieck polynomials

Abstract: The Newton polytope conv{a : x^a appears in S_w} of a Schubert polynomial has fascinating combinatorial and discrete-geometric properties, and the study of these polytopes in their own right tells us a lot about the Schubert polynomials themselves. I will survey some of the basic theory of these polytopes and discuss recent works, joint with Hafner--Mészáros--St. Dizier and with Chou, where we aim to extend this story to Grothendieck polynomials.