Résume | The study of p-adic representations of p-adic groups is a contemporary theme in arithmetic geometry. In this talk I will describe a functor that relates certain categories of locally analytic representations of a p-adic split reductive group to certain sheaves on the Bruhat-Tits building. This extends work of Schneider-Stuhler in the smooth case and is also compatible, in a way, with the localization of Lie algebra representations on the flag variety in the sense of Beilinson-Bernstein. This is work in progress with D. Patel and M. Strauch. |