Elliptic van Diejen difference operators and elliptic hypergeometric integrals of Selberg type
Masatoshi Noumi (Rikkyo University, Tokyo, Japan)
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
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.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
Organizers: | NiŃolai Reshetikhin, Ivan Sechin, Andrey Tsiganov* |
*contact for this listing |