The $p$-adic local Langlands correspondence for ${\rm GL}_2(\mathbb{Q}_p)$
The $p$-adic local Langlands correspondence for ${\rm GL}_2(\mathbb{Q}_p)$
The p-adic local Langlands correspondence for GL 2 (Q p ) is given by an exact functor from unitary Banach representations of GL 2 (Q p ) to representations of the absolute Galois group G Qp of Q p .We prove, using characteristic 0 methods, that this correspondence induces a …