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Orderable groups in topology and dynamics
[2018 KAIST Math. Colloquium]
Date: 2018-12-06
Speaker : Kathryn Mann (Brown University)
Abstract : Given a group G and a manifold M, can one describe all the actions of G on M? This is a basic, natural question in geometric topology, but also a very difficult one -- even in the case where M is 1-dimensional, and G is a familiar, finitely generated group. This talk will introduce the theory of groups acting on 1-manifolds, through the study of orderable groups. I will describe some connections between this theory and themes in topology and dynamics (like rigidity and foliation theory ), some current open problems, and indicate new approaches coming from recent joint work with C. Rivas.
VOD : [VIDEO]  [YOUTUBE]
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