13 citations · 31 across the 9 of their papers we have counts for
12 papers
On the de Rham flip-flopping in dual towers
Gabriel Dospinescu, Wiesława Nizioł
We prove a version of de Rham and Hyodo-Kato flip-flopping for dual towers of rigid analytic spaces including those coming from dual basic local Shimura varieties. The main tool ar…
A Jacquet-Langlands functor for -adic locally analytic representations
Gabriel Dospinescu, Juan Esteban Rodríguez Camargo
We study the locally analytic theory of infinite level local Shimura varieties. As a main result, we prove that in the case of a duality of local Shimura varieties, the locally ana…
On the geometrization of the -adic local Langlands correspondence
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
We survey results related to our geometrization of a part of the -adic local Langlands correspondence for .
Gelfand-Kirillov dimension and the -adic Jacquet-Langlands correspondence
Gabriel Dospinescu, Vytautas Paškūnas, Benjamin Schraen
We bound the Gelfand-Kirillov dimension of unitary Banach space representations of -adic reductive groups, whose locally analytic vectors afford an infinitesimal character. We u…
Infinitesimal characters in arithmetic families
Gabriel Dospinescu, Vytautas Paškūnas, Benjamin Schraen
We associate infinitesimal characters to (twisted) families of -parameters and -parameters of -adic reductive groups. We use the construction to study the action of the ce…
p-adic etale cohomology of period domains
Pierre Colmez, Gabriel Dospinescu, Julien Hauseux +1
We compute the p-torsion and p-adic etale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups. F…
Integral -adic étale cohomology of Drinfeld symmetric spaces
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
We compute the integral -adic étale cohomology of Drinfeld symmetric spaces of any dimension. This refines the computation of the rational -adic étale cohomology from Colmez-…
Cohomology of -adic Stein spaces
Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol
We compute the -adic étale and the pro-étale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the -adic pro-étale coho…
The p-adic local Langlands correspondence for GL_2(Q_p)
Pierre Colmez, Gabriel Dospinescu, Vytautas Paskunas
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 grou…
Irreducible components of deformation spaces: wild 2-adic exercises
Pierre Colmez, Gabriel Dospinescu, Vytautas Paskunas
We prove that the irreducible components of the space of framed deformations of the trivial 2-dimensional mod 2 representation of the absolute Galois group of Q_2 are in natural bi…
Equations differentielles p-adiques et modules de Jacquet analytiques
Gabriel Dospinescu
Using differential techniques, we compute the Jacquet module of the locally analytic vectors of irreducible admissible unitary representations of GL_2(\qp). This gives a direct pro…
Endomorphism algebras of admissible p-adic representations of p-adic Lie groups
Gabriel Dospinescu, Benjamin Schraen
Building on recent work of Ardakov and Wadsley, we prove Schur's lemma for absolutely irreducible admissible p-adic Banach space (respectively locally analytic) representations of…