Ordinary parts and local-global compatibility at $\ell=p$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913565064036352 |
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| author | Hevesi, Bence |
| author_facet | Hevesi, Bence |
| contents | We prove local-global compatibility results at $\ell=p$ for the torsion automorphic Galois representations constructed by Scholze, generalising the work of Caraiani--Newton. In particular, we verify, up to a nilpotent ideal, the local-global compatibility conjecture at $\ell=p$ of Gee--Newton in the case of imaginary CM fields under some technical assumptions. The key new ingredient is a local-global compatibility result for $Q$-ordinary self-dual automorphic representations for arbitrary parabolic subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13514 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ordinary parts and local-global compatibility at $\ell=p$ Hevesi, Bence Number Theory Representation Theory 11F75, 11F75, 11F80, 11F33 We prove local-global compatibility results at $\ell=p$ for the torsion automorphic Galois representations constructed by Scholze, generalising the work of Caraiani--Newton. In particular, we verify, up to a nilpotent ideal, the local-global compatibility conjecture at $\ell=p$ of Gee--Newton in the case of imaginary CM fields under some technical assumptions. The key new ingredient is a local-global compatibility result for $Q$-ordinary self-dual automorphic representations for arbitrary parabolic subgroups. |
| title | Ordinary parts and local-global compatibility at $\ell=p$ |
| topic | Number Theory Representation Theory 11F75, 11F75, 11F80, 11F33 |
| url | https://arxiv.org/abs/2311.13514 |