BIMSA > BIMSA Integrable Systems Seminar Elliptic van Diejen difference operators and elliptic hypergeometric integrals of Selberg type
Elliptic van Diejen difference operators and elliptic hypergeometric integrals of Selberg type
Organizers
Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Masatoshi Noumi
Time
Friday, February 17, 2023 5:00 PM - 6:30 PM
Venue
A6-101
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).