University of Sydney Algebra Seminar

Chengming Bai (Chern Institute of Mathematics)

Friday 7th May, 12.05-12.55pm, Carslaw 175

Classical Yang-Baxter equation and some related algebraic structures

We first give a brief introduction to the classical Yang-Baxter equation which emphasizes the relationship between the tensor and operator forms. Then we introduce the various generalizations of the classical Yang-Baxter equation, motivated by the study of different topics like integrable systems, Rota-Baxter algebras and Lie bialgebras. Moreover, there are some interesting algebraic structures behind the above study.