The Kähler-Ricci flow and canonical measures

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Jian Song, Rutgers University
Fine Hall 314

We define and prove the existence of canonical measures of Einstein type on algebraic manifolds of nonnegative Kodaira dimension. We also show that the Kähler-Ricci flow can be uniquely defined on algebraic varieties with log terminal singularities. It reveals the deep connection between the Ricci flow and the classification of algebraic varieties.