## Geometric Flows

# Distance distortion estimate in Ricci flows with bounded scalar curvature

## Hyun Chul Jang (University of Connecticut)

### Monday, November 5, 2018
5:00 pm

MONT245 ()

This is the first talk on the recent study of Ricci flow with bounded scalar curvature, which will be about the distance distortion estimate: the distance between two points x,y in the manifold M changes by at most a uniform factor on a time-interval (whose size depends on the upper bound of the scalar curvature and the distance between x,y at the central time. I will be presenting the precise statement and the detailed proof of it. This talk is based on Section 3 of the paper, Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature, written by R. H. Bamler and Q. S. Zhang.