Geodesic
Langlands base change for $\mathrm{GL}(2)$
Luis Dieulefait1
1 Departament d'Àlgebra i Geometria, Universitat de Barcelona<br/> Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain
Annals of mathematics, Tome 176 (2012) no. 2, pp. 1015-1038.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $F$ be a totally real Galois number field. We prove the existence of base change relative to the extension $F/\mathbb{Q}$ for every holomorphic newform of weight at least $2$ and odd level, under simple local assumptions on the field $F$.
DOI : 10.4007/annals.2012.176.2.7

Luis Dieulefait 1

1 Departament d'Àlgebra i Geometria, Universitat de Barcelona<br/> Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain 
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Luis Dieulefait. Langlands base change for $\mathrm{GL}(2)$. Annals of mathematics, Tome 176 (2012) no. 2, pp. 1015-1038. doi : 10.4007/annals.2012.176.2.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.2.7/

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