We describe a new approach to relative p-adic Hodge theory based on systematic use of
Witt vector constructions and nonarchimedean analytic geometry in the style of both …

Let L be a finite extension of Qp. We construct a (p-adic local Langlands) correspondence
attaching to any irreducible, 2-dimensional, L-representation of GQp, a unitary, admissible …

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

Let $ K/\mathbb {Q} _p $ be a finite extension and $ G_K $ the absolute Galois group of $ K
$. For $(A^{\circ},\mathfrak {m}) $ a complete local ring with finite residue and $ V_ {A^{\circ}} …

Patching and the p-adic local Langlands correspondenceT1 Page 1 arXiv:1310.0831v5 [math.NT]
1 Jul 2016 Cambridge Journal of Mathematics Volume 0, Number 0, 1, 2014 Patching and the …

We construct a functor from the category of p-adic étale local systems on a smooth rigid
analytic variety X over ap-adic field to the category of vector bundles with an integrable …

In a previous paper, we constructed a category of (phi, Gamma)-modules associated to any
adic space over Q_p with the property that the etale (phi, Gamma)-modules correspond to …

Now in its second edition, this volume provides a uniquely detailed study of $ P $-adic
differential equations. Assuming only a graduate-level background in number theory, the text …

Limites de représentations cristallines Page 1 Compositio Math. 140 (2004) 1473–1498
DOI: 10.1112/S0010437X04000879 Limites de représentations cristallines Laurent Berger …

We study the locally analytic vectors in the completed cohomology of modular curves and
determine the eigenvectors of a rational Borel subalgebra of. As applications, we prove a …