Critical Regularity and Subexponential Growth in Homeomorphism Groups of Compact Manifolds

Watch a mathematics conference talk exploring how elementarily equivalent groups with identical first-order group theoretic sentences relate to homeomorphism groups of compact connected manifolds. Delve into proof work demonstrating that when homeomorphism groups of two compact connected manifolds are elementarily equivalent, the manifolds themselves must be homeomorphic - extending Whittaker's 1963 theorem on isomorphic homeomorphism groups through a novel approach. Learn about this collaborative research between Sang-Hyun Kim, Thomas Koberda (UVa), and Javier de la Nuez-Gonzalez (KIAS) presented at the "Foliations and Diffeomorphism Groups" thematic meeting at Centre International de Rencontres Mathématiques in Marseille, France. Access this talk and other mathematical presentations through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and multi-criteria search functionality.