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, -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 -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.
@article{JTNB_2003__15_1_367_0,
author = {Chris Skinner},
title = {Modularity of {Galois} representations},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {367--381},
year = {2003},
publisher = {Universit\'e Bordeaux I},
volume = {15},
number = {1},
zbl = {1057.11032},
mrnumber = {2019021},
language = {en},
url = {https://jtnb.centre-mersenne.org/item/JTNB_2003__15_1_367_0/}
}
Chris Skinner. Modularity of Galois representations. Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 367-381. https://jtnb.centre-mersenne.org/item/JTNB_2003__15_1_367_0/
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