May 06, 2016
Friday
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02:00 PM - 03:00 PM
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Smoothing properties and uniqueness of the weak Kaehler-Ricci flow
Eleonora Di Nezza (Centre de Mathématiques Laurent Schwartz, École Polytechnique)
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- Video
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- Abstract
Let X be a compact Kaehler manifold. I will show that the Kaehler-Ricci flow can be run from a degenerate initial data, (more precisely, from an arbitrary positive closed current) and that it is immediately smooth in a Zariski open subset of X. Moreover, if the initial data has positive Lelong number we indeed have propagation of singularities for short time. Finally, I will prove a uniqueness result in the case of zero Lelong numbers.
(This is a joint work with Chinh Lu)
- Supplements
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