Large scale geometry in large transformation groups

par Prof. Kathryn Mann (University of California, Berkeley)

lundi 19 juin 2017, 14:30 → 15:45 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

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.