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

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 …

The emerging p-adic Langlands programme Page 1 Proceedings of the International Congress
of Mathematicians Hyderabad, India, 2010 The emerging p-adic Langlands programme …

Understanding Galois representations is one of the central goals of number theory. Around
1990, Fontaine devised a strategy to compare such p-adic Galois representations to …

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 …

Nous décrivons le complexe de de Rham des revĉtements du demi-plan de Drinfeld pour
$\mathrm {GL} _2 (\mathbf {Q} _p) $. Cette description, conjecturée par Breuil et Strauch …

Let Π be a unitary representation of GL2 (Qp), topologically of finite length. We describe the
sub-representation Πan made of its locally analytic vectors, and its filtration by radius of …

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) …

For the p-cyclotomic tower of Q _p Fontaine established a description of local Iwasawa
cohomology with coefficients in a local Galois representation V in terms of the ψ-operator …

La série principale unitaire de GL2 (Qp): vecteurs localement analytiques Page 297 8 La
série principale unitaire de GL2 ( Q p) : vecteurs localement analytiques Pierre Colmez …