EVENT DETAILS AND ABSTRACT

Title: Symplectic forms, Kahler metrics and the Calabi-Yau equation
Speaker: Professor Ben Weinkove
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

Yau's theorem on Kahler manifolds states that there exists a unique Kahler metric in every Kahler class with prescribed volume form. This has many applications in complex geometry. I will discuss results on Donaldson's program of extending the Calabi-Yau theory to symplectic manifolds. In a different direction, I will talk about the problem of existence of constant scalar curvature Kahler metrics, which can also be considered a generalization of Yau's theorem.