Heun operators from different points of view: quantum and classical
Oleksiy Zhedanov (Renmin University of China, Beijing. School of Mathematics)
Abstract: We discuss recent construction of Heun operators as bilinear combinations of two generators of the Askey-Wilson algebra (as well as of its degenerate cases). This construction is related to an important "band and time limiting" problem in Fourier analysis. Classical mechanical analogs of the Heun operators give rise to several families of dynamical systems having explicit solutions in terms of elliptic functions.
mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry
Audience: general audience
Comments: Workshop on Lie theory and integrable systems at BIMSA
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, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |