Séminaire Géométrie et groupes discrets

Large scale geometry in large transformation groups

by Prof. Kathryn Mann (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.