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

Masatoshi Noumi (Rikkyo University, Tokyo, Japan)

17-Feb-2023, 09:00-10:30 (13 months ago)

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).

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

( slides | video )


BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

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Organizers: Niсolai Reshetikhin, Ivan Sechin, Andrey Tsiganov*
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