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Ricci flow through singularities

Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016

May 04, 2016 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Bruce Kleiner (New York University, Courant Institute)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • complex geometry

  • Riemannian geometry

  • geometric analysis

  • geometric flow

  • Ricci curvature

  • Ricci flow

  • singularities of flows

  • generalized solutions

  • geometric PDE

  • mean curvature

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14502

Abstract

It has been a long-standing problem in geometric analysis to find a good definition of generalized solutions to the Ricci flow equation that would formalize the heuristic idea of flowing through singularities. I will discuss a notion in the 3-d case that has good analytical properties, enabling one to prove existence and compactness of solutions, as well as a number of structural results. It may also be used to partly address a question of Perelman concerning the convergence of Ricci flow with surgery to a canonical flow through singularities. This is joint work with John Lott

Supplements
25958?type=thumb Kleiner.Notes 234 KB application/pdf Download
Video/Audio Files

14502

H.264 Video 14502.mp4 316 MB video/mp4 rtsp://videos.msri.org/data/000/025/804/original/14502.mp4 Download
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