University of Connecticut

PDE and Differential Geometry Seminar


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Title: Regularity theory for Type I Ricci flows
Speaker: Pannagiotis Gianniotis (University of Waterloo)
Time: Monday, March 27, 2017 at 2:30 pm
Place: MONT 214Abstract: A Ricci flow exhibits a Type I singularity if the curvature blows up at a certain rate near the singular time. Type I singularities are abundant and in fact it is conjectured that they are the generic singular behaviour for the Ricci flow on closed manifolds. In this talk, I will describe some new integral curvature estimates for Type I flows, valid up to the singular time. These estimates partially extend to higher dimensions an estimate that was recently shown to hold in dimension three by Kleinert-Lott, using Ricci flow with surgery. In our case, we rely on a monotonicity formula that is available which allows us to adapt the technique of quantitative stratification of Cheeger-Naber to Type I Ricci flows.

Organizer: Armando Cabrera