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arXiv · 2010.14629

Endoscopy for affine Hecke categories

Yau Wing Li
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Abstract

We show that the neutral block of the affine monodromic Hecke category for a reductive group is monoidally equivalent to the neutral block of the affine Hecke category for the endoscopic group. The semisimple complexes of both categories can be identified with the generalized Soergel bimodules via the Soergel functor. We extend this identification of semisimple complexes to the neutral blocks of the affine Hecke categories by the technical machinery developed by Bezrukavnikov and Yun.

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BibTeXRIS

Yau Wing Li. 2020-10-27. Endoscopy for affine Hecke categories. https://doi.org/10.1007/s00029-024-00974-y

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