L^2 Homology of Groups and Consequences - Lecture 3

Explore the intricacies of l^2 homology of groups and their consequences in this 47-minute lecture from the Workshop on Geometry of Subgroups. Delve into the final part of a three-lecture series, where Robert Kropholler builds upon previous discussions on the general theory of homology of groups and l^2 homology defined via actions on simplicial complexes. Examine various examples of computed homology groups and investigate the implications of these invariants for group theorists, with a particular focus on cases where these invariants vanish. Gain valuable insights into this advanced mathematical topic as part of the Atelier sur les Géométrie des sous-groupes held at the Centre de recherches mathématiques (CRM) in May 2023.