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L^2 Homology of Groups and Consequences - Lecture 3

Offered By: Centre de recherches mathématiques - CRM via YouTube

Tags

Geometric Group Theory Courses Group Theory Courses Algebraic Topology Courses Simplicial Complexes Courses

Course Description

Overview

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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.

Syllabus

Robert Kropholler: l^2 homology of groups and consequences III.


Taught by

Centre de recherches mathématiques - CRM

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