We develop a duality theory between the continuous representations of a compact p-adic
Lie group G in Banach spaces over a given p-adic field K and certain compact modules over …

We prove a conjecture of Colmez concerning the reduction modulo p of invariant lattices in
irreducible admissible unitary p-adic Banach space representations of GL2 (Q p) with p≥ 5 …

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 …

Throughout this abstract,(R, T) denotes a compact (Hausdorff) topological ring. The authors
extend T to ring topologies on R which are totally bounded or even pseudocompact; a …

The study of the class of van der Waerden rings was initiated by Comfort, Remus and
Szambien in [7]. A compact ring (R, T) is a van der Waerden ring if and only if T is the only …

This thesis consists of two closely related projects concerning the structure of the universal
lifting ring of a mod p representation of the Galois group of a p-adic local field. The first …

Soient k un corps fini de caractéristique p, Fp une clôture algébrique, et G un groupe
analytique p-adique ce qui est équivalent à la propriété [6] 8.34: G contient un pro-p-sous …