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Convergence of weak Kaehler-Ricci flows on minimal models of positive Kodaira dimension

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

May 05, 2016 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Vincent Guedj (Institut de Mathématiques de Toulouse)
Location: MSRI: Simons Auditorium
Tags/Keywords

  • complex geometry

  • Riemannian geometry

  • geometric analysis

  • geometric flow

  • Ricci flow

  • Kahler-Ricci flow

  • minimal model program

  • projective algebraic geometry

  • complex algebraic geometry

  • Kodaira dimension

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

14504
Abstract

Studying the behavior of the Kaehler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Ampere equations. I will explain how viscosity methods allow one to define and study the long term behavior of the normalized Kaehler-Ricci flow on mildly singular varieties of positive Kodaira dimension, generalizing results of Song and Tian who dealt with  smooth minimal models. This is joint work with P.Eyssidieux and A.Zeriahi
Supplements
25962?type=thumb Guedj.Notes 796 KB application/pdf Download
Video/Audio Files

14504

H.264 Video 14504.mp4 316 MB video/mp4 rtsp://videos.msri.org/data/000/025/811/original/14504.mp4 Download
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