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Kahler-Einstein metrics and Geometric Invariant Theory

Donaldson, S (Imperial)
Thursday 30 June 2011, 10:00-11:00

Seminar Room 1, Newton Institute


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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