Workshop on Combinatorics of Enumerative Geometry

Abstract: There has been a lot of recent work connecting the two pipe dream formulae for Schubert polynomials (classic and bumpless). One strand is the hybrid pipe dreams of Udell and myself, giving $2^n$ different pipe dream formulae; an orthogonal one is the generic pipe dreams of Zinn-Justin and myself, which compute the equivariant cohomology classes of "lower-upper varieties" (whose definition I will recall), and recover the Schubert polynomials as leading terms. In this talk I'll unify these strands, giving $2^n$ hybrid generic pipe dream formulae and some Yang-Baxter equations they satisfy. This work is joint with Paul Zinn-Justin.