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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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#### KLR algebras and their representations | Geometric Representation Theory Seminar

AbstractKLR algebras are a family of algebras introduced approximately fifteen years ago as part of the programme of categorifying quantum groups. We will discuss various representation-theoretic properties of these algebras. Along the way, we see an interesting mix of geometry, combinatorics and homological algebra.SpeakerPeter McNamara is a Senior Lecturer at the University of Melbourne. His ...

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