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#### Geometric Representation Theory Seminar | Categorical action for finite classical groups and its applications

Abstract:In this talk, we will discuss the categorical action on the representation category of finite classical groups and its applications in representation theory. We construct a categorical double quantum Heisenberg action on the representation category of finite classical groups. Over a field of characteristic zero or positive characteristic, we deduce a categorical action of a Kac-Moody a...

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#### Geometric Representation Theory Seminar | The FLE and the W-algebra

Abstract：The FLE is a basic assertion in the quantum geometric Langlands program, proposed by Gaitsgory-Lurie, which provides a deformation of the geometric Satake equivalence to all Kac-Moody levels. We will report on a proof via the representation theory of the affine W-algebra, which is joint work in progress with Gaitsgory

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