Derived Satake category and Affine Hecke category in mixed characteristics
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916140075188224 |
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| author | Bando, Katsuyuki |
| author_facet | Bando, Katsuyuki |
| contents | We construct a new affine Grassmannian which connects an equal characteristic affine Grassmannian and Zhu's Witt vector affine Grassmannian. As a result, we deduce the mixed characteristic version of the Bezrukavnikov-Finkelberg's derived Satake equivalence. By the same argument, we also obtain the mixed characteristic version of the Bezrukavnikov's equivalence between two categorifications of an affine Hecke algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16244 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Derived Satake category and Affine Hecke category in mixed characteristics Bando, Katsuyuki Number Theory Algebraic Geometry Representation Theory We construct a new affine Grassmannian which connects an equal characteristic affine Grassmannian and Zhu's Witt vector affine Grassmannian. As a result, we deduce the mixed characteristic version of the Bezrukavnikov-Finkelberg's derived Satake equivalence. By the same argument, we also obtain the mixed characteristic version of the Bezrukavnikov's equivalence between two categorifications of an affine Hecke algebra. |
| title | Derived Satake category and Affine Hecke category in mixed characteristics |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2310.16244 |