Combinatorics Seminar: "The canonical bijection between pipe dreams and bumpless pipe dreams"

Abstract: Pipe dreams and bumpless pipe dreams both give combinatorial formulas for Schubert polynomials. As a result, many important identities in Schubert calculus can be understood through pipe dreams and/or bumpless pipe dreams. Since the discovery of bumpless pipe dreams, a direct weight-preserving bijection between pipe dreams and bumpless pipe dreams has been of great interest. In this talk, we present such a bijection, and establish its canonical nature by showing that it preserves Monk's rule. This is joint with Yibo Gao.

Host: Laura Escobar Vega