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 …

In this paper, we associate to every p-adic representation V ap-adic differential equation D†
rig (V), that is to say a module with a connection over the Robba ring. We do this via the …

arXiv:2210.01404v2 [math.NT] 1 Feb 2023 Page 1 An introduction to the categorical p-adic
Langlands program Matthew Emerton, Toby Gee, and Eugen Hellmann Abstract. We give an …

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 …

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 …

All ALEPH measurements of branching ratios of τ decays involving kaons are summarized
including a combination of results obtained with K^0_S and K^0_L detection. The decay …

Colmez, Pierre. Représentations triangulines de dimension $2 $, dans Représentations $ p
$-adiques de groupes $ p $-adiques I: représentations galoisiennes et $(\varphi,\Gamma) …

This paper takes up the study of Iwasawa theory of $ p $-adic representations of a local field
via the theory of $(\varphi,\Gamma) $-modules. In particular, a vast generalisation of …