Conférencier invité - Juan Esteban Rodríguez Camargo : P-adic D modules and the p-adic Langlands program

Collège de FranceAnnée 2025-2026Juan Esteban Rodríguez CamargoChargé de recherche, Institut Max-Planck de mathématiquesJuan Esteban Rodríguez Camargo est lauréat du cours Peccot pour l'année 2025-2026.P-adic Modular Forms and the Work of Panhttps://www.college-de-france.fr/fr/agenda/conferencier-invite/p-adic-modules-and-the-p-adic-langlands-programRésuméIn this first talk we give an introduction of the theory of p-adic modular forms and to the completed cohomology groups of the modular curve. We recall the theory of Lue Pan of locally analytic vectors in completed cohomology and the relevance of p-adic differential equations.