Finite embeddability of groups and its applications to geometry and topology
Presenter
December 7, 2016
Keywords:
- coarse embedding
- finite embeddability
- K theory
- C* algebras
- amenability
- a-T-menability
- fixed point properties
- hyperbolic groups and generalizations
- Banach space
- group cohomology
- expander graph
- index theory
- non-commutative geometry
MSC:
- 46L80
- 58B34
- 19-xx
- 20-xx
- 43-xx
- 46-xx
- 57-xx
- 58-xx
- 20F65
- 20J06
- 43A07
Abstract
We will introduce the concept of finite embeddability of groups and discuss its applications to non-rigidity of topological manifolds and the moduli space of positive scalar curvature metrics. A certain secondary invariant of elliptic operators plays a crucial role in these applications. This is joint work with Shmuel Weinberger and Zhizhang Xie