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Demazure crystals for Nonsymmetric Macdonald polynomials

Algebra & Discrete Mathematics

Speaker: Nicolle Gonzales, USC
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Location: 1147 MSB
Start time: Mon, Oct 29 2018, 11:00AM

Macdonald polynomials are important functions that arise in algebraic combinatorics, representation theory, and algebraic geometry. In this talk we will consider their nonsymmetric counterparts and relate them to Demazure modules. Specifically, for any nonsymmetric Macdonald polynomial specialized at $t=0$ we construct certain Demazure crystals and show that such polynomials can be obtained as the character of a finite graded sum of Demazure modules.

This is joint work with Sami Assaf.