Abstracts for the Seminar
 Discrete Geometry and Combinatorics
 Spring 2023

Speaker:  Gabe Udell, Cornell University
Title: Interpolating between ordinary and bumpless pipe dreams
Time: 2:30 PM, Monday, March 27, 2023
Place:  Malott 206

Abstract: Pipe dreams and bumpless pipe dreams are similar but distinct combinatorial objects which can each be used to compute Schubert polynomials. Recently, Gao and Huang gave a bijection between them, combinatorially proving the equivalence of the two formulas for Schubert polynomials. This talk will discuss hybrid pipe dreams, a new tool for computing Schubert polynomials which generalize both pipe dreams and bumpless pipe dreams. Hybrid pipe dreams provide a new bijective proof of the equivalence of formulas for Schubert polynomials coming from pipe dreams and bumpless pipe dreams. This work is joint with Allen Knutson.

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