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Large scale geometry in large transformation groups
(University of California, Berkeley)
Amphithéâtre Léon Motchane (IHES)
Amphithéâtre Léon Motchane
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.