2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97475This is the text of a talk to the study week on \emph{Modular forms and Galois representations} held in Luminy, 1997. We give a survey of $p$-adic modular forms, as developped by Serre, Katz, Hida, Wiles, Coleman and others...Number Theorytext