The goal of this workshop is, in the first part, to understand the recent work of Dospinescu-Le Bras and Pan Lue on the geometric realisation of the p-adic local Langlands correspondence for GL2(Qp) and, in the second part, to understand the work of Scholze on the p-adic cohomology of the Lubin Tate tower and its application on the p-adic Langlands program. 

Main reference:

G.Dospinescu and Le Bras, Revêtements du demi-plan de Drinfeld et correspondance de Langlands p-adique, preprint 2015.

L. Pan, First covering of Drinfel’d upper half plane and Banach representations of GL2(Qp), preprint 2015. arXiv:1510.03006v1

P. Scholze, On the p-adic cohomology of the Lubin-Tate tower, preprint 2015.