EVENT DETAILS AND ABSTRACT

Title: On the scalar curvature blow up conjecture in Ricci flow
Speaker: Richard Bamler
Speaker Info: Berkeley
Brief Description:
Special Note:
Abstract:

It is a basic fact that the Riemannian curvature becomes unbounded at every finite-time singularity of the Ricci flow. Sesum showed that, more precisely, even the Ricci curvature becomes unbounded at every such singularity. Whether the same can be said about the scalar curvature has since remained a conjecture, which has resisted several attempts of resolution.

In this talk, I will present new estimates for Ricci flows, which hold under a global or local scalar curvature bound, such as: distance distortion estimates, Gaussian bounds for the heat kernel and a backwards pseudolocality theorem. As an application, we partially confirm the scalar curvature blowup conjecture in dimension 4.

This project is joint work with Qi Zhang.