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L^2 Homology of Groups and Consequences - Part I

Offered By: Centre de recherches mathématiques - CRM via YouTube

Tags

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

Course Description

Overview

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Explore the foundations of l^2 homology of groups in this comprehensive lecture from the Workshop on Geometry of Subgroups. Begin with a concise introduction to the general theory of homology of groups before delving into the definition of l^2 homology through actions on simplicial complexes. Gain insights into the computation of these homology groups through various examples, and discover the implications of vanishing l^2 homology invariants for group theorists. Enhance your understanding of this advanced mathematical concept as part of a broader workshop series on the geometry of subgroups, presented by Robert Kropholler at the Centre de recherches mathématiques.

Syllabus

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


Taught by

Centre de recherches mathématiques - CRM

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