Date: Tuesday, January 12, 2016
Title: The Ricci flow on compact Kähler manifolds
Abstract: The behavior of the Ricci flow on compact Kähler manifolds is intimately related to the complex structure of the manifold. In particular on projective manifolds it has direct connections with the minimal model program in algebraic geometry. It is known that the maximal existence time of the flow can be computed from simple cohomological data. In the case when this is finite, I will give a geometric description of the set where the singularities occur. When the maximal existence time is infinite, I will discuss what is known about metric behavior as time goes to infinity.
Speaker: Valentino Tosatti
Institution: Northwestern University
