2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68898We construct explicitly some analytic families of etale (phi,Gamma)-modules, which give rise to analytic families of 2-dimensional crystalline representations. As an application of our constructions, we verify some conjectures of Breuil on the reduction modulo p of those representations, and extend some results (of Deligne, Edixhoven, Fontaine and Serre) on the representations arising from modular forms.13 pages, english and french abstractsNumber TheoryAlgebraic Geometry11F80, 11F33, 11F85, 14F30text