Geometric Sen Theory, Locally Analytic Representations and the Completed Cohomology of Shimura Varieties - Lecture 3

Explore advanced methods in geometric Sen theory and locally analytic representations through this mathematical lecture delivered at the Centre International de Rencontres Mathématiques. Delve into the sophisticated techniques introduced by Lue Pan and further developed by Rodriguez Camargo, Benchao Su, and Tian Qiu, focusing specifically on locally analytic vectors in the completed cohomology of Shimura varieties. Learn about the intricate connections between Galois representations and automorphic forms as presented during this 92-minute third lecture in the series. Gain detailed insights into cutting-edge research methodologies that bridge geometric and analytic approaches in modern number theory and algebraic geometry. Access comprehensive supporting materials including chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification through CIRM's specialized audiovisual mathematics library platform.