Tame categorical local Langlands correspondence
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910908292268032 |
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| author | Zhu, Xinwen |
| author_facet | Zhu, Xinwen |
| contents | In one of our previous articles, we outlined the formulation of a version of the categorical arithmetic local Langlands conjecture. The aims of this article are threefold. First, we provide a detailed account of one component of this conjecture: the local Langlands category. Second, we aim to prove this conjecture in the tame case for quasi-split unramified reductive groups. Finally, we will explore the first applications of such categorical equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tame categorical local Langlands correspondence Zhu, Xinwen Representation Theory Algebraic Geometry In one of our previous articles, we outlined the formulation of a version of the categorical arithmetic local Langlands conjecture. The aims of this article are threefold. First, we provide a detailed account of one component of this conjecture: the local Langlands category. Second, we aim to prove this conjecture in the tame case for quasi-split unramified reductive groups. Finally, we will explore the first applications of such categorical equivalence. |
| title | Tame categorical local Langlands correspondence |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2504.07482 |