Quasimobius maps between Morse boundaries of CAT(0) spaces
Groups acting on CAT(0) spaces September 27, 2016  September 30, 2016
Location: SLMath: Eisenbud Auditorium
CAT(0) space
negative curvature manifolds
Riemannian geometry
visual boundary
Morse boundary
54C40  Algebraic properties of function spaces in general topology [See also 46Exx]
0111  Research data for problems pertaining to history and biography
55R35  Classifying spaces of groups and $H$Hspaces in algebraic topology
55R91  Equivariant fiber spaces and bundles in algebraic topology [See also 19L47]
55R65  Generalizations of fiber spaces and bundles in algebraic topology
55S36  Extension and compression of mappings in algebraic topology
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 quasiisometry invariance: a quasiisometry 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 quasimobius structure, determines the space up to quasiisometry. 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@slmath.org.
See more of our Streaming videos on our main VMath Videos page.