Arthur-Cesar Lebras (IMJ )
Drinfeld's coverings and the $p$-adic Langlands correspondence

Abstract: I will explain the proof of (a version of) a conjecture of Breuil-Strauch, which gives a purely geometric description of the $p$-adic local Langlands correspondence for $GL_2(\mathbf{Q}_p)$ for de Rham non trianguline Galois representations, using the de Rham complex of Drinfeld's coverings of the $p$-adic upper half-plane. This is a joint work with Gabriel Dospinescu.