Title: Symplectic forms and almost-complex structures in 4 dimensions
Speaker: Valentino Tosatti
Speaker Info: Columbia University
Brief Description:
Special Note:

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 a possible approach to this conjecture that involves a generalization of the classical Calabi-Yau theory on Kahler manifolds, and report on some recent work on this (joint with B. Weinkove and partly with S.-T. Yau).

Date: Wednesday, January 26, 2011
Time: 4:10pm
Where: Lunt 105
Contact Person: Ezra Getzler
Contact email: getzler@northwestern.edu
Contact Phone:
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