The geometry of CAT(0) spaces
Presenter
August 23, 2016
Keywords:
- geometric group theory
- hyperbolic group
- CAT(0) space
- Riemannian geometry
- negative curvature manifolds
- cube complex
- coarse / fine Gromov geometry
- Artin group
- group actions on manifolds
MSC:
- 20F65
- 20F67
- 20F05
- 20Fxx
- 20-xx
- 32Q45
- 20F36
- 20F34
Abstract
The talk will begin with a brief history of CAT(0) geometry, including some long-standing open problems. Then I will discuss more recent developments and areas of current interest, including the theory of CAT(0) cube complexes and the interplay between CAT(0) geometry and hyperbolic geometry.