Yang-Baxter equation, relative Rota-Baxter operators and skew braces
Valeriy G. Bardakov (Sobolev Institute of Mathematics, Novosibirsk, Russia)
Abstract: The Yang-Baxter equation is a fundamental equation in mathematical physics and statistical mechanics, it has connections with knot theory, braid theory and some algebraic systems.
In my talk I recall the definition of the Yang-Baxter equation, Braid equation, skew brace and relative Rota-Baxter operators on group. Further we discuss connections between these objects, suggest some way for construction of relative Rota-Baxter operators, using known Rota-Baxter operators, describe some of these operators on 2-step nilpotent groups and construct some solutions to the Yang-Baxter equation on 2-step nilpotent groups.
This is joint work with T. Kozlovskaya, P. Sokolov, K. Zimireva, and M. Zonov
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: | NiŃolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |