Quasi-mobius maps between Morse boundaries of CAT(0) spaces
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: MSRI: Simons Auditorium
CAT(0) space
negative curvature manifolds
Riemannian geometry
visual boundary
Morse boundary
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
58E10 - Applications to the theory of geodesics (problems in one independent variable)
14614
The Morse boundary of a geodesic metric space is a topological space consisting of equivalence classes of geodesic rays satisfying a Morse condition. A key property of this boundary is quasi-isometry invariance: a quasi-isometry between two proper geodesic metric spaces induces a homeomorphism on their Morse boundaries. In the case of a hyperbolic metric space, the Morse boundary is the usual Gromov boundary and Paulin proved that this boundary, together with its quasi-mobius structure, determines the space up to quasi-isometry. I will discuss an analogue of Paulin’s theorem for Morse boundaries of CAT(0) spaces. This is joint work with Devin Murray.
|
Charney.Notes
|
Download |
14614
| H.264 Video |
14614.mp4
|
Download |
Please report video problems to itsupport@msri.org.
See more of our Streaming videos on our main VMath Videos page.