Using Ergodic Theory to Study the Cohomology of Diffeomorphism Groups

Explore a mathematical lecture that delves into the determination of bounded cohomology in diffeomorphism groups through the lens of ergodic theory. Learn how recent collaborative work with Nariman and Fournier-Facio-Nariman reveals unexpected differences between bounded and ordinary cohomology, particularly in relation to the unboundedness of classical characteristic classes. Recorded during the thematic meeting "Foliations and Diffeomorphism Groups" at the Centre International de Rencontres Mathématiques in Marseille, France, this presentation demonstrates the practical application of ergodic theory concepts in proving cohomological results. Access this lecture through CIRM's Audiovisual Mathematics Library, which offers enhanced features including chapter markers, keywords, enriched content with abstracts and bibliographies, and comprehensive search functionality for mathematical topics.