Speaker: Vsevolod Gubarev (Sobolev Institute of Mathematics; Novosibirsk State University)

Title: Rota-Baxter operators and Yang-Baxter equation

Date and time:  26.03.2025, 17:00 (GMT +03:00)

Abstract:  In 1960, G. Baxter introduced the notion of Rota-Baxter operator. In 1960-70s, such operators were actively studied on Banach algebras. In 1980s, A.A. Belavin, V.G. Drinfeld and M.A. Semenov-Tian-Shansky rediscovered Rota-Baxter operators while studying classical and modified Yang-Baxter equations. In 2000, M. Aguiar found even deeper connection between Rota-Baxter operators defined on associative algebras and associatie Yang-Baxter equation. In 2020, Rota-Baxter operators on a group were defined by L. Guo, H. Lang, and Y. Sheng, such operators are connected to quantum Yang-Baxter equation.

Video of the talk
https://rutube.ru/video/d0e4f0038b05ce289f5543a976cff2db/

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com