• Corpus ID: 15050230

On p-Adic Geometric Representations of G Q To

@inproceedings{Wintenberger2006OnPG,
  title={On p-Adic Geometric Representations of G Q To},
  author={J.-P. Wintenberger},
  year={2006}
}
A conjecture of Fontaine and Mazur states that a geometric odd irreducible p-adic representation ρ of the Galois group of Q comes from a modular form ([10]). Dieulefait proved that, under certain hypotheses, ρ is a member of a compatible system of l-adic representations, as predicted by the conjecture ([9]). Thanks to recent results of Kisin ([15]), we are able to apply the method of Dieulefait under weaker hypotheses. This is useful in the proof of Serre’s conjecture ([20]) given in [11], [14… 
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