Modular affine Hecke category and regular centralizer
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929408587071488 |
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| author | Bezrukavnikov, Roman Riche, Simon |
| author_facet | Bezrukavnikov, Roman Riche, Simon |
| contents | In this paper we provide a "combinatorial" description of the category of tilting perverse sheaves on the affine flag variety of a reductive algebraic group, and its free-monodromic variant, with coefficients in a field of positive characteristic. This provides a replacement for the familiar "Soergel theory" for characteristic-0 coefficients, and the second step in our project towards the construction of an equivalence of categories relating the two natural geometric realizations of the associated affine Hecke algebra in the case of positive-characteristic coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_03738 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Modular affine Hecke category and regular centralizer Bezrukavnikov, Roman Riche, Simon Representation Theory Algebraic Geometry In this paper we provide a "combinatorial" description of the category of tilting perverse sheaves on the affine flag variety of a reductive algebraic group, and its free-monodromic variant, with coefficients in a field of positive characteristic. This provides a replacement for the familiar "Soergel theory" for characteristic-0 coefficients, and the second step in our project towards the construction of an equivalence of categories relating the two natural geometric realizations of the associated affine Hecke algebra in the case of positive-characteristic coefficients. |
| title | Modular affine Hecke category and regular centralizer |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2206.03738 |