Topics
in Topology: Introduction to metric spaces of non-positive curvature.
Time: Tue, Thu 3:30 p.m. - 4:45 p.m.
Classroom: 25-109
Instructor: Seonhee Lim email
Office: building 27, room 212
Office Hours: Tue Thu 1:00 p.m. - 2:00 p.m. and by appointments.
References:
l Metric
spaces of non-positive curvature, M. Bridson & A. Haeflinger
l Trees,
J.P. Serre
l Ergodic theory of
discrete groups, P. Nicholls
(1) Compact hyperbolic surfaces
(2) Conformal dimension and hyyperbolic spaces
(3) Volume entropy rigidity
(4) Quasi-isometry rigidity of negatively curved spaces
(5) Dehn functions and CAT(0) groups
(6) Tits alternative for hyperbolic groups and CAT(0) groups
(7) Length Spectrum Rigidity