Speaker：Yoshinori Namikawa (Research Institute for Mathematical Sciences, Kyoto University)

Time：2023-4-27, 10:00

Location：Zoom Meeting ID：837 9519 6998（Password: 466783）

Abstract:

Symplectic varieties play important roles in algebraic geometry and geometric representation theory. They often show up with a good C^*-action. Such a variety is called a conical symplectic variety. A conical symplectic variety has a close relationship with Poisson geometry and contact geometry. In this talk we first look at conical symplectic varieties from the view point of Poisson geometry and contact geometry and next discuss the following topics: a finiteness theorem for conical symplectic varieties, a characterizaton of the closures of nilpotent orbit of complex semisimple Lie algebras, Poisson deformation and birational geometry. Finally we will report on recent developments on the explicit constructions of Q-factorial terminalizations of conical symplectic varieties.