We prove the finiteness and compatibility with base change of the $(\varphi,\Gamma) $-
cohomology and the Iwasawa cohomology of arithmetic families of $(\varphi,\Gamma) …

We prove the global triangulation conjecture for families of refined p-adic representations
under a mild condition. That is, for a refined family, the associated family of.';/-modules …

We show that framed deformation rings of mod p representations of the absolute Galois
group of a p-adic local field are complete intersections of expected dimension. We …

En utilisant le système de Taylor–Wiles–Kisin construit dans un travail récent de Caraiani,
Emerton, Gee, Geraghty, Paškūnas et Shin, nous construisons un analogue de la variété de …

We develop a theory of Selmer groups for analytic families of Galois representations, which
are only assumed “ordinary” on the level of their underlying (φ, Γ)-modules. Our approach …

We describe the completed local rings of the trianguline variety at certain points of integral
weights in terms of completed local rings of algebraic varieties related to Grothendieck's …

The theory of (φ q, Γ)-modules is a generalization of Fontaine's theory of (φ, Γ)-modules,
which classifies G F-representations on O F-modules and F-vector spaces for any finite …

Let p be a prime number and f an overconvergent p-adic automorphic form on a definite
unitary group which is split at p. Assume that f is of “classical weight” and that its Galois …

IWASAWA THEORY OF DE RHAM (ϕ, Γ )-MODULES OVER THE ROBBA RING Page 1 J. Inst.
Math. Jussieu (2014) 13(1), 65–118 65 doi:10.1017/S1474748013000078 c Cambridge …

We extend the $ p $-adic local Langlands correspondence for $\textbf {GL} _2 (\mathbf {Q}
_p) $ to a correspondence $\Delta\mapsto\Pi (\Delta) $ between $(\varphi,\Gamma) …