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# Yau Wing Li, MIT – Geometric Methods in Representation Theory Seminar

## January 29 @ 4:00 pm - 5:00 pm

Yau Wing Li, MITZoom Meeting ID: 975 6220 3148Title: Endoscopy for affine Hecke categoriesAbstract: Affine Hecke categories are categorifications of Iwahori-Hecke algebras, which are essential in the classification of irreducible representations of loop group LG with Iwahori-fixed vectors. The affine Hecke category has a monodromic counterpart, which contains sheaves with prescribed monodromy under the left and right actions of the maximal torus. We show that the neutral block of this monoidal category is equivalent to the neutral block of the affine Hecke category (with trivial torus monodromy) for the endoscopic group H. It is consistent with the Langlands functoriality conjecture. |