Modularity of Galois representations

Skinner, Chris

Journal de théorie des nombres de Bordeaux, Volume 15 (2003) no. 1, pp. 367-381.

This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, $p$-adic Galois representations associated to holomorphic Hilbert modular newforms.

Dans cet article, nous donnons une interprétation en termes de théorie de Galois des représentations galoisiennes $p$-adiques de dimension 2 associés aux formes modulaires holomorphes de Hilbert qui sont des «new forms». L’article suit pour l’essentiel l’exposé des Journées Arithmétiques de 2001.

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