The conjecture on de Rham representations in analytic cohomology of the Lubin–Tate tower
Let ρp:GQp→GL2(E)\rho_p:G_{\mathbb{Q}_p}\rightarrow\operatorname{GL}_2(E)ρp:GQp→GL2(E) be a continuous de Rham Galois representation, and let B(ρp)B(\rho_p)B(ρp) denote the associated ppp-adic local Langlands rep…