Explore Sobolev spaces on metric spaces in this 32-minute conference talk by Jun Kigami, recorded during the thematic meeting "Analysis on fractals and networks, and applications" at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into the basic idea of Sobolev spaces, examine new examples, and understand the general concept. Learn about partitions and good conditions, and investigate discrete energy. Access this video and other talks by renowned mathematicians on CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and a multi-criteria search function for easy navigation.