CMV-bispectrality
Oleksiy Zhedanov (Renmin University of China)
Abstract: Workshop Kirillov–75. Combinatorics and Bethe ansatz. November 26–27
For Szego polynomials on the unit circle we present explicit examples of bispectrality which makes these polynomials similar to "classical" orthogonal polynomials. These examples admit extension to much wider class of special Baxter polynomials. Affine and double affine Hecke algebras of rank 1 arise naturally in this approach from first principles.
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 |