Algebra, Geometry & Combinatorics: The canonical bijection between pipe dreams and bumpless pipe dreams
Oct 14, 2021 3:00 - 4:00 pm
347 Altgeld Hall
- Sponsor
- n/a
- Speaker
- Yibo Gao
- Contact
- Colleen Robichaux
- cer2@illinois.edu
- Views
- 39
Abstract: Pipe dreams and bumpless pipe dreams are two combinatorial objects that enumerate Schubert polynomials, and it has been an open problem to find a weight-preserving bijection between these two objects since bumpless pipe dreams were introduced by Lam, Lee and Shimozono. In this talk, we present such a bijection and establish its canonical nature by showing that it preserves Monk's rule. This is joint work with Daoji Huang.