Hybrid integrable systems

Abstract: Workshop Kirillov–75. Combinatorics and Bethe ansatz. November 26–27

This talk is focused on quantum integrable systems on a classical background. In physics such systems are known as Born-Oppenheimer approximations, when heavy atoms are classical and electrons are quantum. In mathematics, perhaps, most known structures of this type are Azumaya algebras (an algebra that is finite dimensional over the center) and quantum groups at roots of unity. After the description of general mathematical framework several natural examples will be given, such as spin chains, spin Calogero-Moser systems and isomonodromic deformations. The talk is based on joint work with A. Liashyk and I. Sechin.

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.