标题：Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures

报告时间：2024年04月05日(星期五)15:15-15:55

报告地点：人民大街校区数学与统计学院104教室

主讲人：Maxim Goncharov

主办单位：数学与统计学院

报告内容简介：

　　In this talk, we introduce the notion of a Rota-Baxter operator of a non-scalar weight on an arbitrary algebra. As a motivation, we show that there is a natural connection between Rota-Baxter operators of this type and structures of quasitriangular Lie bialgebras on a quadratic finite-dimensional Lie algebra. Moreover, we show that some classical results on Lie bialgebra structure on simple finite-dimensional Lie algebras can be obtained from the corresponding results for Rota-Baxter operators.

主讲人简介：

　　Maxim Goncharov, Ph.D., Senior research fellow in Sobolev Institute of Mathematics, associate Professor at Novosibirsk State University.