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 …

Abstract Recently, Andreatta, Iovita and Pilloni constructed spaces of overconvergent
modular forms in characteristic p, together with a natural extension of the Coleman–Mazur …

We associate infinitesimal characters to (twisted) families of $ L $-parameters and $ C $-
parameters of $ p $-adic reductive groups. We use the construction to study the action of the …

We show that non-Archimedean analytic geometry can be viewed as relative algebraic
geometry in the sense of Toën–Vaquié–Vezzosi over the category of non-Archimedean …

We introduce a sheaf of infinite order differential operators 𝒟⌢ on smooth rigid analytic
spaces that is a rigid analytic quantisation of the cotangent bundle. We show that the …

We study several aspects of the study of Ind-Banach modules over Banach rings thereby
synthesizing some aspects of homological algebra and functional analysis. This includes a …

Abstract We bound the Gelfand–Kirillov dimension of unitary Banach space representations
of p-adic reductive groups, whose locally analytic vectors afford an infinitesimal character …

We prove Schur's lemma for absolutely irreducible admissible $ p $-adic Banach space
(respectively locally analytic) representations of $ p $-adic Lie groups. We also prove …

Let V be a two-dimensional absolutely irreducible\mathbb Qp-representation of\rm Gal
(\mathbb Qp/\mathbb Qp) and let ∏ (V) be the\rm GL _2 (\mathbb Qp) Banach …

Abstract Let $\mathfrak {o} $ be a complete discrete valuation ring of mixed characteristic
$(0, p) $ and $\mathfrak {X} _ {0} $ a smooth formal $\mathfrak {o} $-scheme. Let $\mathfrak …