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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.01774 |
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| _version_ | 1866913380916264960 |
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| author | Clozel, Laurent Newton, James Thorne, Jack A. |
| author_facet | Clozel, Laurent Newton, James Thorne, Jack A. |
| contents | Let $f$ be a non-CM Hecke eigenform of weight $k \geq 2$. We give a new proof of some cases of Langlands functoriality for the automorphic representation $π$ associated to $f$. More precisely, we prove the existence of the base change lifting, with respect to any totally real extension $F / \mathbb{Q}$, of any symmetric power lifting of $π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01774 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-abelian base change for symmetric power liftings of holomorphic modular forms Clozel, Laurent Newton, James Thorne, Jack A. Number Theory Let $f$ be a non-CM Hecke eigenform of weight $k \geq 2$. We give a new proof of some cases of Langlands functoriality for the automorphic representation $π$ associated to $f$. More precisely, we prove the existence of the base change lifting, with respect to any totally real extension $F / \mathbb{Q}$, of any symmetric power lifting of $π$. |
| title | Non-abelian base change for symmetric power liftings of holomorphic modular forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2312.01774 |