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International audienceWe generalize Coleman classicity criterion for overconvergent modular forms on modular curves to the case of some PEL Shimura variety of type (A) or (C) associated to a reductive group unramified over Qp. Our demonstration is inspired by the analytic continuation method of Buzzard and Kassaei.Nous généralisons le critère de classicité de formes modulaires surconvergentes sur les courbes modulaires dû à Coleman à certaines variétés de Shimura PEL de type (A) et (C) associées à des groupes réductifs non ramifiés sur Qp. Notre démonstration s’inspire de la méthode de prolongement analytique de Buzzard et Kassaei

Classicité de formes modulaires surconvergentes