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arXiv · 1208.5367

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

Christophe Breuil·Fred Diamond
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Abstract

Let F be a totally real field, v an unramified place of F dividing p and rho a continuous irreducible two-dimensional mod p representation of G_F such that the restriction of rho to G_{F_v} is reducible and sufficiently generic. If rho is modular (and satisfies some weak technical assumptions), we show how to recover the corresponding extension between the two characters of G_{F_v} in terms of the action of GL_2(F_v) on the cohomology mod p.

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Christophe Breuil, Fred Diamond. 2012-08-27. Formes modulaires de Hilbert modulo p et valeurs d'extensions galoisiennes. https://doi.org/10.24033/asens.2230

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