Endoscopy for affine Hecke categories
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866914059236933632 |
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| author | Li, Yau Wing |
| author_facet | Li, Yau Wing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_14629 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Endoscopy for affine Hecke categories Li, Yau Wing Representation Theory Algebraic Geometry 20G25, 20C08, 14F08, 14F43 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. |
| title | Endoscopy for affine Hecke categories |
| topic | Representation Theory Algebraic Geometry 20G25, 20C08, 14F08, 14F43 |
| url | https://arxiv.org/abs/2010.14629 |