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
组织者
尼古拉·莱舍提金 , 伊万·谢钦 , 安德烈·茨加诺夫
演讲者
Masatoshi Noumi
时间
2023年02月17日 17:00 至 18:30
地点
A6-101
摘要
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).