Baxter Q-operators in Ruijsenaars hyperbolic system
Organizers
Speaker
Time
Tuesday, November 14, 2023 4:00 PM - 5:00 PM
Venue
A6-101
Abstract
The eigenfunctions of the Ruijsenaars hyperbolic system were constructed by M. Hallnäs and S. Ruijsenaars in 2012. Recently in the joint work with S. Derkachov, S. Kharchev and S. Khoroshkin we proved some properties of these eigenfunctions using the so-called Baxter Q-operators. In the talk I will explain the motivation behind these operators, their key properties and how they are used to prove the bispectral symmetry, orthogonality and completeness of the eigenfunctions.