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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 269: Seminar in Combinatorics
Jack Chou
University of Florida
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.
Host: Brendon Rhoades
March 18, 2025
1:00 PM
APM 5829
Research Areas
Combinatorics****************************
