Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
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Orateur(s) Eugen HELLMANN - University of Texas,
Titre Density of potentially Barsotti-Tate representations
Date01/07/2013
Horaire09:30 à 10:30
Diffusion
RésumeLet $K$ be a finite extension of $Q_p$. We prove that the Galois representations that become Barsotti-Tate after an abelian extension are Zariski-dense in the generic fiber of the universal deformation ring of an absolutely irreducible 2-dimensional residual Galois representation. The proof uses a map from an eigenvariety to the space of trianguline representations and a related density statement on the eigenvariety as a global input. This is joint work with Benjamin Schraen.
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