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Geometric Analysis Seminar

Surgery for an extended Ricci flow system

Florian Johne, Columbia University

Location:  Hill 705
Date & time: Tuesday, 17 September 2019 at 2:50PM - 3:50PM

Abstract:  List flow is a geometric flow for a pair (g,u), where g is a Riemannian metric and u a smooth function. This extended Ricci flow system has applications to static vacuum solutions of the Einstein equations and to Ricci flow on warped products.The coupling in this flow induces additional difficulties compared to Ricci flow, which we overcome by proving an improved bound on the Hessian. This allows us to prove a convergence result, a singularity classification result and a surgery result in three dimensions.