CRM: Centro De Giorgi
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Extremal Kaehler Metrics and Kaehler-Ricci Flow

seminar: Symplectic Calabi-Yau manifolds and minimal surfaces

speaker: Joel Fine (Universite Libre de Bruxelles)

abstract: I will describe joint work with Dmitri Panov. An SO(3)- connection on a four-manifold is called definite if its curvature is non-zero on every two-plane. The associated 2-sphere bundle is then naturally symplectic, but almost never Kahler. I will explain how to use this construction to find many symplectic non-Kahler manifolds with c1=0 and also how to use such symplectic forms to prove a compactness result for minimal surfaces in certain four-manifolds.

Thu 13 Mar, 16:45 - 17:45, Sala Conferenze Centro De Giorgi
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