Wednesday, September 13 at 2:00pm to 2:50pm
Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089
Eric Rains, Caltech
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.