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arXiv · 1611.06918

Automorphy of $\mathrm{GL}_2\otimes \mathrm{GL}_n$ in the self-dual case

Sara Arias-de-Reyna·Luis Dieulefait·Josu Pérez
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Abstract

In this paper we establish a new case of Langlands functoriality. More precisely, we prove that the tensor product of the compatible system of Galois representations attached to a level-1 classical modular form and the compatible system attached to an n-dimensional RACP automorphic representation of GL_n of the adeles of Q is automorphic, for any positive integer n, under some natural hypotheses (namely regularity and irreducibility), and a mild restriction on the level of the n-dimensional representation.

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Sara Arias-de-Reyna, Luis Dieulefait, Josu Pérez. 2016-11-21. Automorphy of $\mathrm{GL}_2\otimes \mathrm{GL}_n$ in the self-dual case. https://arxiv.org/abs/1611.06918

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