2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126042In this paper, we study the tannakian properties of the Fontaine-Laffaille functor V_cris thanks to the theory of Wach's modules. We construct a point of the torsor linking cristalline representations and weakly admissible filtered modules, preserving the lattices in the sens of the Fontaine-Laffaille correspondance.Representation TheoryNumber Theory11F80, 11F85, 11S20, 11S23text