Are geodesic metric spaces determined by their Morse boundaries?
- π€ Speaker: Ruth Charney (Brandeis University)
- π Date & Time: Tuesday 30 May 2017, 11:00 - 12:00
- π Venue: Seminar Room 2, Newton Institute
Abstract
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 spaces. (Joint work with Devin Murray)
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Ruth Charney (Brandeis University)
Tuesday 30 May 2017, 11:00-12:00