EVENT DETAILS AND ABSTRACT

Title: A symplectic Calabi-Yau theory?
Speaker: Valentino Tosatti
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Brief Description:
Special Note:
Abstract:

Consider a closed 4-manifold with a given almost-complex structure. A natural question to ask is: under what conditions can we find a symplectic form compatible with the almost-complex structure?

A necessary condition is that there exists a symplectic form "taming" it (in the sense of Gromov), and a conjecture of Donaldson says that this should be also sufficient.

I will discuss an approach to this conjecture that involves a generalization of the classical Calabi-Yau theory on Kahler manifolds.