$P$-adic cohomology of the Lubin-Tate tower
Also appears in collections : Arithmetics of Shimura varieties, of automorphic forms and applications / Arithmétique des variétés de Shimura et des formes automorphes et Applications, The Fields Medallists
We prove a finiteness result on the $p$-adic cohomology of the Lubin-Tate tower, which allows one to go from mod $p$ and $p$-adic $GL_n (F)$-representations to Galois representations (compatibly with some global cor-respondences).
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