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Department of Mathematics,
University of California San Diego

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Advancement to Candidacy

Tianyi Yu

UCSD

Tableaux rules for key polynomials and Lascoux polynomials

Abstract:

Key polynomials were introduced by Demazure for Weyl groups. They are non-symmetric generalizations of Schur polynomials, which are important in representation theory and geometry. Lascoux polynomials are K-theoretic analogues of key polynomials. In this talk, we describe several rules to compute key polynomials and Lascoux polynomials using tableaux. 

Advisor: Brendon Rhoades

February 22, 2022

2:00 PM

https://ucsd.zoom.us/j/97376061574

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