Lecturer:
Course Type:
PhD Course
Academic Year:
2014-2015
Period:
December-April
Duration:
60 h
Description:
Aim of the course is to be an introduction to the study of `metric measure spaces with Ricci curvature bounded from below'. Preliminaries are measure theory and some knowledge of Riemannian geometry. Then I will discuss:
- the basics of optimal transport theory
- The concept of convergence of metric-measure structures
- Lott-Sturm-Villani approach to lower Ricci curvature bounds
- A variant of the Lott-Sturm-Villani approach
- Sobolev functions on mm spaces
- Differential structure of mm spaces
- Some geometric properties of these spaces
Research Group:
Location:
14th A-134, 15th A-133, 16th-A128