Sur les repr\'esentations $p$-adiques g\'eom\'etriques de conducteur 1   et de dimension 2 de $G_{\Q}$
  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. 
Jean-Pierre Wintenberger