Formes modulaires de Hilbert modulo p et valeurs d'extensions galoisiennes

Translated title of the contribution: Hilbert modular forms modulo p and values of Galois extensions

C. Breuil, Fred Diamond

Research output: Working paper/PreprintPreprint

29 Citations (Scopus)
150 Downloads (Pure)

Abstract

Let F be a totally real field, v an unramified place of F dividing p and ρ an irreducible two-dimensional mod p Galois representation of the absolute Galois group of F. Suppose that ρ restricted to a decomposition group at v is reducible and sufficiently generic. If ρ is modular (and satisfies some weak technical assumptions), we show how to recover the corresponding extension between the two characters of the decomposition group in terms of the action of GL2(Fv) on the cohomology mod p.

Translated title of the contributionHilbert modular forms modulo p and values of Galois extensions
Original languageFrench
PublisherSociete Mathematique de France
Number of pages74
DOIs
Publication statusPublished - 27 Aug 2012

Publication series

NameAnnales Scientifiques de l'Ecole Normale Superieure
Volume47

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