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Algebra, Geometry & Combinatorics: A Polytopal View of Schubert Polynomials

Event Type
Seminar/Symposium
Sponsor
N/A
Location
347AH
Date
Mar 24, 2022   3:00 pm  
Speaker
Avery St. Dizier
Contact
Gidon Orelowitz
E-Mail
gidono2@illinois.edu
Phone
917-371-1855
Views
15

Schubert polynomials are polynomial representatives of cohomology classes of subvarieties of the flag manifold. Despite the many combinatorial formulas developed for them over the years, there remain many mysteries surrounding these polynomials.

I will describe Schubert (and related) polynomials with a focus on discrete geometry. From this perspective, I will address questions such as vanishing of Schubert coefficients, relative size of coefficients, and interesting properties of the support of a Schubert polynomial. I will discuss some extensions to Grothendieck polynomials, K-theory analogues of Schubert polynomials.

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