Metric measure spaces play an important role in many fields of mathematics. In particular, they provide a natural generalization of manifolds admitting all kinds of singularities and still providing rich geometric structures.
This talk presents a way to introduce a generalized notion of lower Ricci curvature bounds in this class of spaces, following an approach proposed by Lott-Villani and Sturm and based on optimal transport. We will also explore some of the analytic and geometric properties that this condition implies on the metric measure structure.
Metric measure spaces with a lower bound on the Ricci curvature
06.10.2021 14:00 - 14:45
Organiser:
SFB 65, DK
Location:
Zoom Meeting