Geometric Casselman-Shalika in mixed characteristic
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911989533507584 |
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| author | Iyengar, Ashwin Lin, Milton Zou, Konrad |
| author_facet | Iyengar, Ashwin Lin, Milton Zou, Konrad |
| contents | We establish a geometric analog of the Casselman-Shalika formula for a split connected reductive group over a mixed characteristic local field. In particular, we construct sheaves on the Witt vector affine Grassmannian which geometrize the Fourier coefficients of spherical Hecke operators, and compute their cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07953 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric Casselman-Shalika in mixed characteristic Iyengar, Ashwin Lin, Milton Zou, Konrad Algebraic Geometry Number Theory Representation Theory 14D24 (Primary), 11F70 (Secondary), 11E95 We establish a geometric analog of the Casselman-Shalika formula for a split connected reductive group over a mixed characteristic local field. In particular, we construct sheaves on the Witt vector affine Grassmannian which geometrize the Fourier coefficients of spherical Hecke operators, and compute their cohomology. |
| title | Geometric Casselman-Shalika in mixed characteristic |
| topic | Algebraic Geometry Number Theory Representation Theory 14D24 (Primary), 11F70 (Secondary), 11E95 |
| url | https://arxiv.org/abs/2408.07953 |