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Lie Group Quantum Mathematics Seminar

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

Song Gao, University of Notre Dame

Location:  Hill 705
Date & time: Friday, 13 October 2023 at 12:10PM - 1:10PM

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.

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