报告题目 (Title)：Novikov bialgebras and infinite-dimensional Lie bialgebras（Novikov双代数与无穷维李双代数）
报告人 (Speaker)： 洪燕勇 教授 (杭州师范大学)
报告时间 (Time)：2023年11月8日(周三) 8:00
报告地点 (Place)：校本部D123
邀请人(Inviter)：孙建才
主办部门：永利数学系
报告摘要：In this talk, I will introduce a bialgebra theory for the Novikov algebra, namely the Novikov bialgebra, which is characterized by the fact that its affinization (by a quadratic right Novikov algebra) gives an infinite-dimensional Lie bialgebra. A Novikov bialgebra is also characterized as a Manin triple of Novikov algebras. The notion of Novikov Yang-Baxter equation is introduced, whose skewsymmetric solutions can be used to produce Novikov bialgebras and hence Lie bialgebras. These solutions also give rise to skewsymmetric solutions of the classical Yang-Baxter equation in the infinite-dimensional Lie algebras from the Novikov algebras. This talk is based on joint works with Chengming Bai and Li Guo.
