2026-09-19T22:17:04Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1390192022-01-15T03:29:38Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Yun, Zhiwei
Li, Yau Wing
Massachusetts Institute of Technology. Department of Mathematics
2022-01-14T14:45:00Z
2022-01-14T14:45:00Z
2021-06
2021-05-25T12:47:10.366Z
https://hdl.handle.net/1721.1/139019
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.
Ph.D.
Massachusetts Institute of Technology
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http://rightsstatements.org/page/InC-EDU/1.0/
Endoscopy for affine Hecke categories
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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.</Abstract>
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