Gabriel Dospinescu
CNRS, École Normale Supérieure de Lyon, France

I will discuss some $p$-adic analogs of classical results in the $l$-adic Langlands and Jacquet-Langlands correspondences, which involve Drinfeld upper half-planes, Lubin-Tate spaces and their étale coverings. This is a joint project with Pierre Colmez and Wieslawa Niziol.