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# Valentino Tosatti : The evolution of a Hermitian metric by its Chern-Ricci curvature

I will discuss the evolution of a Hermitian metric on a compact complex manifold by its Chern-Ricci curvature. This is an evolution equation which coincides with the Ricci flow if the initial metric is Kahler, and was first studied by M.Gill. I will describe the maximal existence time for the flow in terms of the initial data, and thendiscuss the behavior of the flow on complex surfaces and on some higher-dimensional manifolds. This is joint work with Ben Weinkove.

**Category**: Geometry and Topology**Duration**: 01:07:16**Date**: April 27, 2012 at 4:30 PM**Views**: 110-
**Tags:**seminar, Geometry Festival Seminar

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