Explore a comprehensive lecture on the subconvexity of L-functions in this first part of a series presented by Philippe Michel at the "Building bridges 6th EU/US" thematic meeting. Delve into advanced mathematical concepts as Michel discusses this crucial topic in analytic number theory. Recorded at the Centre International de Rencontres Mathématiques in Marseille, France, this 1-hour and 13-minute talk offers valuable insights for mathematicians and researchers in related fields. Access this video and other presentations by renowned mathematicians through CIRM's Audiovisual Mathematics Library, which features chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for enhanced navigation and understanding. Utilize the multi-criteria search function to explore a wealth of mathematical content by author, title, tags, or mathematical area.