Explore a mathematical lecture examining the relationship between surface homeomorphism dynamics and fine curve graph isometry actions. Delve into the properties of the fine curve graph for closed surfaces, which serves as a Gromov-hyperbolic graph where the homeomorphism group acts faithfully through isometries. Learn about collaborative research findings from works with Jonathan Bowden, Sebastian Hensel, Kathryn Mann, Richard Webb, and Pierre-Antoine Guihéneuf, presented at the 'Foliations and Diffeomorphism Groups' thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France. Access this comprehensive mathematical presentation through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and advanced search functionality for exploring related mathematical concepts.