## Differential Geometry Seminar: Ricci flow and Ricci limit spaces

Seminar | January 30 | 1:10-2 p.m. | 939 Evans Hall

Peter Topping, University of Warwick

Department of Mathematics

Ricci flow theory has been developing rapidly over the last couple of years, with the ability to handle Ricci flows with unbounded curvature finally becoming a reality. This is vastly expanding the range of potential applications. I will describe some recent work in this direction with Miles Simon that shows the right way to pose the 3D Ricci flow in this setting in order to obtain applications. Amongst these applications is a proof that 3D Ricci limit spaces are locally bi-Holder homeomorphic to smooth manifolds, which solves more than an old conjecture of Anderson-Cheeger-Colding-Tian in this dimension.

vvdatar@berkeley.edu