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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Combinatorics Seminar (Math 269)
Tianyi Yu
UCSD
Top degree components of Grothendieck and Lascoux Polynomials
Abstract:
The Schubert polynomials and key polynomials form two important bases for the polynomial ring. Schubert and key polynomials are the``bottom layers” of Grothendieck and Lascoux polynomials, two inhomogeneous polynomials. In this talk, we look at their``top layers”. We develop a diagrammatic way to compute the degrees and the leading monomials of these top layers. Finally, we describe the Hilbert series of the space spanned by these top layers, involving a classical $q$-analogue of the Bell numbers.
January 24, 2023
4:00 PM
APM 7321
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