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Large scale geometry in large transformation groups

Presented by: 
Kathryn Mann University of California, Berkeley
Date: 
Thursday 11th May 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
In this talk I will survey some recent work on coarse geometry of transformation groups, specifically, groups of homeomorphisms and diffeomorphisms of manifolds. Following a framework developed by C. Rosendal, many of these groups have a well defined quasi-isometry type (despite not being locally compact or compactly generated). This provides the right context to discuss geometric questions such as boundedness and subgroup distortion -- questions which have already been studied in the context of actions of finitely generated groups on manifolds. 
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons