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Evaluation functor and birepresentations for Soergel bimodules in affine type A.

Vanessa Miemietz (University of East Anglia)
Wednesday 1 May 2024 16:15–17:00 Koll. G3 (1532-218)
Mathematics Seminar

There is a well-known evaluation map from Hecke algebras in affine type A to those in finite type A, which allows us to pull back representations of the former to the latter. In this talk, I will explain how to categorify this to a monoidal functor from affine type A Soergel bimodules to the bounded homotopy category of finite type A Soergel bimodules, and give some applications to 2-representation theory. This is joint work with Marco Mackaay and Pedro Vaz.

Organised by: AarHomAlg
Revised: 09.04.2024