4/30/2010

Valentino Tosatti
Columbia University

Complex Monge-Ampere equations on symplectic and hermitian manifolds

We will discuss a program to generalize the complex Monge-Ampere equation to symplectic and hermitian manifolds. We will explain to which extent the classical theory on Kahler manifolds extends to these two cases, and give some applications. This is joint work with B. Weinkove and partly with S.-T. Yau.