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arXiv · 2312.01774

Non-abelian base change for symmetric power liftings of holomorphic modular forms

Laurent Clozel·James Newton·Jack A. Thorne
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Abstract

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 $\pi$.

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Laurent Clozel, James Newton, Jack A. Thorne. 2023-12-04. Non-abelian base change for symmetric power liftings of holomorphic modular forms. https://arxiv.org/abs/2312.01774

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