Elliptic van Diejen difference operators and elliptic hypergeometric integrals of Selberg type

Time：2023-02-17 Fri 17:00-18:30

Venue：ZOOM: 815 4690 4797（PW: BIMSA）

Organizer：Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

Speaker：Masatoshi Noumi Rikkyo University, Tokyo

Abstract

In this talk, I propose a class of eigenfunctions for the elliptic van Diejen operators (Ruijsenaars operators of type BC) which are represented by elliptic hypergeometric integrals of Selberg type. They are constructed from simple seed eigenfunctions by integral transformations, thanks to gauge symmetries and kernel function identities of the van Diejen operators. Based on a collaboration with Farrokh Atai (University of Leeds, UK).

DATEFebruary 17, 2023

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