Combinatorics Seminar: Vanishing integrals of Macdonald and Koornwinder polynomials

Wednesday, September 13 at 2:00pm to 2:50pm

Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089

Eric Rains, Caltech

Abstract:
One of my favorite results about Schur functions is the fact that the integral of a Schur function over the orthogonal or symplectic group is either 0 or 1 (with a simple criterion for being 1), a result which originally arose in work on increasing subsequences of involutions. I'll explain how this result generalizes to Macdonald polynomials (and beyond), and what it has to do with quadratic transformations of multivariate hypergeometric integrals.

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department

Mathematics

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