Extensions de représentations de de Rham et vecteurs localement algébriques

Let $Π$ be an irreducible unitary completion of a locally algebraic ${\rm GL}_2(\qp)$-representation. We describe those first-order deformations of $Π$ which are themselves completions of a locally algebraic representation. This answers a question of Paskunas and has direct applications to the Breuil-Mézard conjecture.

No reviews yet.

No comments yet.