Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Grothendieck Polynomials of Inverse Firworks Permutations

Event Type: Seminar/Symposium
Sponsor: Andrew Hardt
Location: Altgeld Hall 143
Date: May 15, 2025 4:00 - 4:50 pm
Speaker: Jack Chou (University of Florida); Title: Grothendieck polynomials of inverse fireworks permutations
Contact: Andrew Hardt
E-Mail: ahardt@illinois.edu
Originating Calendar: General Events - Department of Mathematics; Speaker: Jack Chou (University of Florida)

Title: Grothendieck polynomials of inverse fireworks permutations

Abstract: Pipe dreams are combinatorial objects that compute Grothendieck polynomials. We introduce a new combinatorial object that naturally recasts the pipe dream formula. From this, we obtain the first direct combinatorial formula for the top degree components of Grothendieck polynomials, also known as the Castelnuovo-Mumford polynomials. We also prove the inverse fireworks case of a conjecture of Meszaros, Setiabrata, and St. Dizier on the support of Grothendieck polynomials. This is joint work with Tianyi Yu.

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