Tame local Betti geometric Langlands
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910797529088000 |
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| author | Dhillon, Gurbir Taylor, Jeremy |
| author_facet | Dhillon, Gurbir Taylor, Jeremy |
| contents | We prove a monoidal equivalence between spectral and automorphic realizations of the universal affine Hecke category, thereby proving the tamely ramified local Betti geometric Langlands correspondence, as conjectured by Ben-Zvi--Nadler [BZN07, BZN18]. Specializing to the case of unipotent monodromy, this provides another argument for a fundamental theorem of Bezrukavnikov [B16]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14157 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tame local Betti geometric Langlands Dhillon, Gurbir Taylor, Jeremy Representation Theory Algebraic Geometry We prove a monoidal equivalence between spectral and automorphic realizations of the universal affine Hecke category, thereby proving the tamely ramified local Betti geometric Langlands correspondence, as conjectured by Ben-Zvi--Nadler [BZN07, BZN18]. Specializing to the case of unipotent monodromy, this provides another argument for a fundamental theorem of Bezrukavnikov [B16]. |
| title | Tame local Betti geometric Langlands |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2501.14157 |