学术报告

Generalized Bruhat cells and symplectic groupoids

发布人:发布时间: 2021-04-19

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学术报告

题目:Generalized Bruhat cells and symplectic groupoids

报告人:于世卓博士,南开大学数学科学学院

时间:202142110:00-11:00

地点:戊己庚楼4

腾讯会议号:292 729 541

摘要:Generalized Bruhat cells in Lie theory provide a natural setting for the study of Poisson geometry and integrable system. In this talk, we introduce a construction of a symplectic groupoid whose morphism and object is both associated to generalized Bruhat cells. First, we introduce a class of Lie groupoids in the background of complex semisimple Lie groups. Then, we introduce the standard Poisson structure on generalized Bruhat cells and a class of polynomials Poisson algebras associated to it. Last, we introduce how to construct a symplectic groupoid using the above Lie groupoid and Poisson structure. This is a joint work with Lu Jiang-Hua and Mouquin Victor.

邀请人:朱富海