## Ahmed Zeriahi (04/09/15)

Math Colloquium

### Speaker: Ahmed Zeriahi

Title: Weak solutions to degenerate complex Monge-Ampère Flows

Location: TG-227, Tæknigarður.

Time: Friday, September 4, at 15:00-16:00.

### Abstract:

Studying the (long-term) behavior of the Kähler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Ampère equations. The purpose of this lecture is to explain how to develop a viscosity theory for degenerate complex Monge-Ampère flows on compact Kähler manifolds. Our general theory allows in particular to define and study the (normalized) Kähler-Ricci flow on varieties with canonical singularities, generalizing results of J. Song and G. Tian.

This is a joint work with P. Eyssidieux and V. Guedj (see arXiv:1407.2504).