Convergence of weak Kaehler-Ricci flows on minimal models of positive Kodaira dimension
Location: MSRI: Simons Auditorium
minimal model program
projective algebraic geometry
complex algebraic geometry
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
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