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Algebra, Geometry & Combinatorics: The canonical bijection between pipe dreams and bumpless pipe dreams

Event Type
Seminar/Symposium
Sponsor
n/a
Location
347 Altgeld Hall
Date
Oct 14, 2021   3:00 - 4:00 pm  
Speaker
Yibo Gao
Contact
Colleen Robichaux
E-Mail
cer2@illinois.edu
Views
24

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.

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