Non-abelian base change for symmetric power liftings of holomorphic modular forms
| Autor: | Clozel, Laurent, Newton, James, Thorne, Jack A. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $\pi$ 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 $\pi$. Comment: v2: new section 5 replaces reference to result not in the published version of [Tho24]. 26 pages |
| Databáze: | arXiv |
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