Sur la correspondance de Simpson p-adique. I : étude locale

Abstract

We develop a new approach for the p-adic Simpson correspondence, closely related to the original approach of Faltings, but also inspired by the work of Ogus and Vologodsky on an analogue in characteristic p>0. This first article is devoted to the local aspects of the theory.

in French; an English version will appear in a volume of Annals of Mathematics Studies (PUP) edited by A. Abbes, M. Gros and T. Tsuji