Sara Arias de Reyna (Universidad de Sevilla):

On an automorphy result for the tensor product of automorphic representations of GL_2 and GL_n in the self-dual case

Abstract: In this talk I will discuss a joint work with Luis Dieulefait, where we address a case of Langlands functoriality for tensor products. More precisely, given a classical modular form f of level 1 without CM and an automorphic representation of GL_n(A_Q) which is RAESDC, subject to mild conditions, we prove that the tensor product of these two automorphic representations is automorphic. I will describe the general strategy and the main tools appearing in the proof.

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