Quantum integrable systems, conformal field theories and stochastic processes

Combinatorics of orthogonal polynomials: how to build Koornwinder polynomials at q=t from moments of Askey Wilson polynomials

Non programmé

50m

Institut d'Études Scientifiques de Cargèse

Orateur

Sylvie Corteel (IRIF, CNRS et Université Paris-Diderot)

Description

In this talk, I will use the classical combinatorial theory of Viennot for orthogonal polynomials and their moments. An extension of this theory allows to build multivariate orthogonal polynomials. The key step for this construction are a Cauchy identity for Koornwinder polynomials due to Mimachi and a Jacobi-Trudi formula for the 9th variation of Schur functions due to Nakagawa, Noumi, Shirakawa and Yamada. This is joint work with Olya Mandelshtam and Lauren Williams.