Optimal transport and lower Ricci curvature bounds, 2
Presenter
August 30, 2013
Keywords:
- Monge mass transport
- Monge-Ampere equation
- non-linear PDE
- Ricci curvature
- optimal transport
- Ricci curvature lower bounds
- Ricci flows
- geometric analysis
MSC:
- 32W20
- 82C70
- 37-xx
- 37Fxx
- 37Gxx
- 34B10
Abstract
To provide an introduction to the field of synthetic treatment of lower Ricci curvature bounds via optimal transport. The course will cover the basic definitions and the crucial aspects of the theory, showing applications to both analysis and geometry.