Date: Friday, February 18, 2022
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Bumpless pipe dreams and coefficients of Schubert polynomials
Abstract: In their work on backstable Schubert calculus, Lam, Lee, and Shimozono gave combinatorial formulas which realize the backstable Schubert polynomials as weighted enumerators of "bumpless pipe dreams". I will describe variants of these polynomials, called "enriched Schubert polynomials", which collect the symmetric part into Schur functions. In this (re)formulation, one can ask for the coefficient of a given Schur function in such an enriched Schubert polynomial. Answering this question leads to new bumpless pipe dream formulas, along with other combinatorial identities.
This is joint work with William Fulton.
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Speaker: David Anderson
Institution: Ohio State University
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