Baxter Q-operators in Ruijsenaars hyperbolic system
Nikita Belousov (Steklov Mathematical Institute, St. Petersburg, Russia)
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.
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: | Niсolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |