Geometric Langlands in positive characteristic from characteristic zero
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918113602174976 |
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| author | Gaitsgory, Dennis Raskin, Sam |
| author_facet | Gaitsgory, Dennis Raskin, Sam |
| contents | We establish part of the statement of the geometric Langlands conjecture for l-adic sheaves over a field of positive characteristic. Namely, we show that the category of automorphic sheaves with nilpotent singular support is equivalent to the appropriately defined category of ind-coherent sheaves on the union of some of the connected components of the stack of Langlands parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Langlands in positive characteristic from characteristic zero Gaitsgory, Dennis Raskin, Sam Algebraic Geometry We establish part of the statement of the geometric Langlands conjecture for l-adic sheaves over a field of positive characteristic. Namely, we show that the category of automorphic sheaves with nilpotent singular support is equivalent to the appropriately defined category of ind-coherent sheaves on the union of some of the connected components of the stack of Langlands parameters. |
| title | Geometric Langlands in positive characteristic from characteristic zero |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.02237 |