Sur les représentations $p$-adiques géométriques de conducteur 1 et de dimension 2 de $G_{\Q}$

Abstract

We prove that there is no geometric $p$-adic representation of the Galois group of $\Q$ which is irreducible, of dimension 2, of conductor 1 and low weight, according to a conjecture of Fontaine and Mazur.

References in corpus (1)

• Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture