| Orateur(s) | Eugen HELLMANN - University of Münster,
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| Titre | Density of potentially Barsotti-Tate representations |
| Date | 01/07/2013 |
| Horaire | 09:30 à 10:30 |
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| Résume | Let $K$ 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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