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Are geodesic metric spaces determined by their Morse boundaries?

Presented by: 
Ruth Charney
Tuesday 30th May 2017 - 11:00 to 12:00
INI Seminar Room 2
Boundaries of hyperbolic spaces have played a key role in low dimensional topology and geometric group theory. In 1993, Paulin showed that the topology of the boundary of a hyperbolic space, together with its quasi-mobius structure, determines the space up to quasi-isometry. One can define an analogous boundary, called the Morse boundary, for any proper geodesic metric space. I will discuss an analogue of Paulin’s theorem for Morse boundaries of CAT(0) spaces.   (Joint work with Devin Murray)

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons