abstract: Studying the (long-term) behavior of the Kaehler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Ampère equations.
In this talk we develop a viscosity theory for such flows and study the (normalized) Kaehler-Ricci flow on varieties with canonical singularities, generalizing results of Song and Tian. This is joint work with P. Eyssidieux and A. Zeriahi.