Geometrization of the local Langlands correspondence, motivically
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917216166871040 |
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| author | Scholze, Peter |
| author_facet | Scholze, Peter |
| contents | Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from $\ell$-adic sheaves to motivic sheaves. In particular, we prove independence of $\ell$ of the $L$-parameters constructed there. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07944 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometrization of the local Langlands correspondence, motivically Scholze, Peter Algebraic Geometry Number Theory Representation Theory 14F42, 14F20, 14G22, 14G45, 11S37, 14D24, 22E57, 11F77, 11F85 Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from $\ell$-adic sheaves to motivic sheaves. In particular, we prove independence of $\ell$ of the $L$-parameters constructed there. |
| title | Geometrization of the local Langlands correspondence, motivically |
| topic | Algebraic Geometry Number Theory Representation Theory 14F42, 14F20, 14G22, 14G45, 11S37, 14D24, 22E57, 11F77, 11F85 |
| url | https://arxiv.org/abs/2501.07944 |