Welcome to the Rutgers Symmetric Functions & Probability Theory seminar page.
This seminar runs at 12:10 PM on Tuesdays in Hill 705.
The organizers are Swee Hong Chan , Konstantin Matveev, Siddhartha Sahi and Hong Chen.
This page is currently maintained by Hong Chen. If you wish to join our mailing list, please click here or email hc813@math.rutgers.edu.
For past talks, click here.
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Speaker: Hong Chen (Rutgers)
Title: Hypergeometric series associated with Jack and Macdonald polynomials (PhD Dissertation Defense)
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Speaker: Songhao Zhu (Georgia Tech)
Title: Super Multivariate Krawtchouk Polynomials via Lie Superalgebras
Abstract: Krawtchouk polynomials constitute a family of orthogonal polynomials with applications in probability theory. In 2012, Iliev gave a Lie-theoretic interpretation of the multivariate Krawtchouk polynomials using certain representations of the Lie algebra $\mathfrak{sl}_n$. In this talk, we will present a superization of this interpretation, introduce super Krawtchouk polynomials with anticommuting variables, and explore their connection with zonal spherical functions on oriented Grassmannians. This is a joint work in progress with Plamen Iliev.
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