Coisotropicity of fixed points under torus action on the variety of Lagrangian subalgebras


报告题目:Coisotropicity of fixed points under torus action on the variety of Lagrangian subalgebras

报告专家:高嵩 (University of Notre Dame)

报告时间:2023年4月13日,10:00                                           

报告地点:Zoom:  652 3784 0465

 

报告摘要:

I will talk about my recent study of coisotropic subalgebras of Lie bialgebras. Given a complex semisimple Lie algebra \frak{g} with adjoint group $G$, the set of coisotropic subalgebras of $\frak{g}$ form an algebraic variety, which is called the variety of coisotropic subalgebras. Let $H$ be a fixed maximal torus of $G$. I will introduce my results on fixed points of $H$-action on the variety of coisotropic subalgebras. Approaches of toric varieties and algebraic groups will be used.

邀请人:李彦鹏

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