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 …

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 …

On donne une formalisation de la méthode de Sen pour les représentations $ p $-adiques.
Comme application de ces techniques, on montre que (1) toute représentation $ p $-adique …

We compute syntomic cohomology of semistable affinoids in terms of cohomology of (φ,
Γ)(φ, Γ)-modules which, thanks to work of Fontaine–Herr, Andreatta–Iovita, and Kedlaya …

We develop the analog in equal positive characteristic of Fontaine's theory for crystalline
Galois representations of a p-adic field. In particular we describe the analog of Fontaine's …

We complete the theory of the local p-adic Simpson correspondence developed by Faltings
for rational coefficients. It asserts that there is an equivalence between the category of small …

We provide new proofs of two key results of p-adic Hodge theory: the Fontaine-Wintenberger
isomorphism between Galois groups in characteristic 0 and characteristic p, and the …

In their book, Rapoport and Zink constructed rigid analytic period spaces F^wa for Fontaine's
filtered isocrystals, and period morphisms from PEL moduli spaces of p-divisible groups to …

In this paper, given a smooth proper scheme X over a p-adic dvr and a p-power torsion etale
local system L on it, we study a family of sheaves associated to the cohomology of local …

Constancy of generalized Hodge–Tate weights of a local system Page 1 Constancy of
generalized Hodge–Tate weights of a local system Koji Shimizu Compositio Math. 154 (2018) …