Structures de Hodge-Pink pour les $\varphi/\mathfrak S$-modules de   Breuil et Kisin
  In this article, we apply the methods of our work on Fontaine's theory in equal characteristics to the $\varphi/\mathfrak S$-modules of Breuil and Kisin. Thanks to a previous article of Kisin, this yields a new and rather elementary proof of the theorem "weakly admissible implies admissible" of Colmez-Fontaine. 
Alain Genestier and Vincent Lafforgue
math.NT math.AG