Abstract: Selberg's famous multivariate beta integral appears all over mathematics: in random matrix theory, analytic number theory, multivariate orthogonal polynomials and conformal field theory. The goal of my talk will be to explain a unification of two important generalisations of the Selberg integral, namely the Selberg integral associated with the root system of type A_n due to Warnaar and the elliptic Selberg integral conjectured by van Diejen and Spiridonov and proved by Rains. Particular emphasis will be placed on generalisations involving symmetric functions such as (complex) Schur, Jack and Macdonald polynomials. This is based on joint work with Eric Rains and Ole Warnaar.
(Elliptic) $A_n$ Selberg integrals
17.10.2023 15:15 - 16:45
Organiser:
I. Fischer, M. Schlosser
Location:
Besprechungszimmer 2. Stock, OMP 1