##### Venue: Department of Mathematics, LH-III

Ricci flow is a PDE that deform the metric of a Riemannian manifold in the direction of its Ricci curvature. For compact smooth manifolds, there is a well established existence and uniqueness theory. However for some applications it can be useful to consider Ricci flows of non-smooth spaces, or metric spaces whose distance doesn’t come from a Riemannian metric. We will show that existence and uniqueness holds for the Ricci flow of compact singular surfaces whose curvature is bounded from below in the sense of Alexandrov.

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Last updated: 09 Apr 2019