An Ordinary Rank-Two Case of Local-Global Compatibility for Automorphic Representations of Arbitrary Weight Over CM Fields
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866910290229067776 |
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| author | Yang, Yuji |
| author_facet | Yang, Yuji |
| contents | We prove a rank-two potential automorphy theorem for mod $l$ representations satisfying an ordinary condition. Combined with an ordinary automorphy lifting theorem, we prove a rank-two, $p \ne l$ case of local-global compatibility for regular algebraic cuspidal automorphic representations of arbitrary weight over CM fields that is $ι$-ordinary for some $ι: \overline{\mathbb{Q}}_l\xrightarrow{\sim}\mathbb{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00318 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An Ordinary Rank-Two Case of Local-Global Compatibility for Automorphic Representations of Arbitrary Weight Over CM Fields Yang, Yuji Number Theory We prove a rank-two potential automorphy theorem for mod $l$ representations satisfying an ordinary condition. Combined with an ordinary automorphy lifting theorem, we prove a rank-two, $p \ne l$ case of local-global compatibility for regular algebraic cuspidal automorphic representations of arbitrary weight over CM fields that is $ι$-ordinary for some $ι: \overline{\mathbb{Q}}_l\xrightarrow{\sim}\mathbb{C}$. |
| title | An Ordinary Rank-Two Case of Local-Global Compatibility for Automorphic Representations of Arbitrary Weight Over CM Fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2111.00318 |