University of Cambridge > > Algebraic Geometry Seminar > Smoothing properties of the Kaehler-Ricci flow

Smoothing properties of the Kaehler-Ricci flow

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In connection with the ÔÇťanalytic analogue” of the Minimal Model Program, it is important to analyse the long-term behaviour of the Kaehler-Ricci flow. This motivated attemps to run the flow on a compact compact Kaehler manifold X from a degenerate initial data. I will show that the Kaehler-Ricci flow can be run from any arbitrary positive closed current, and that it is immediately smooth in a Zariski open subset of X.

(This is a joint work with Chinh Lu, Chalmers University of Technology)

This talk is part of the Algebraic Geometry Seminar series.

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