Geometry/topology Seminar
Tuesday, April 14, 2009, 4:30pm, 119 Physics
Jeff Streets (Princeton)
A parabolic flow of Hermitian metrics

Abstract:

I will introduce a parabolic flow of Hermitian metrics which is a generalization of Kahler-Ricci flow. This flow preserves the pluriclosed condition, and its existence and convergence properties are closely related to the underlying topology of the given complex manifold. I will classify static solutions to the flow on various classes of complex surfaces, and show that no static solutions exist on Class VII surfaces, an important first step in using this flow to classify these surfaces. Joint with G. Tian. [video]

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