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Kahler-Einstein metrics and Geometric Invariant Theory

Presented by: 
S Donaldson [Imperial]
Date: 
Thursday 30th June 2011 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
I will discuss an approach to a version of Yau's conjecture, relating Kahler-Einstein metrics to notions of stability. The core of this approach involves estimates for the Chow invariant, obtained from asymptotic analysis. We will also describe progress on a variant of the set-up involving an anticanonical divisor, somewhat analogous to the theory of parabolic bundles. Another theme in the talk will be the importance of making progress on testing stability in explicit cases.
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