The socle-filtration conjecture for ordinary representations
Let ρ:Gal(Q‾p/Qp)⟶B^Cρ(E)⊆G^(E)\rho:{\operatorname{Gal}}({\overline{\mathbb Q}}_p/{\mathbb Q}_p)\longrightarrow \widehat{B}_{C_\rho}(E)\subseteq\widehat{G}(E)ρ:Gal(Qp/Qp)⟶BCρ(E)⊆G(E) be generic, with Cρ⊆R+∨C_\rho\subseteq R^{+\vee}Cρ⊆R+∨ c…