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Large scale geometry in large transformation groups

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NPCW04 - Approximation, deformation, quasification

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. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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