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Title:
Extremal metrics on toric manifolds
Speaker:
Abstract:
Extremal metrics were introduced by Calabi in the 1980s as a notion of canonical metric on Kahler manifolds, generalizing Kahler-Einstein metrics. Through the works of Donaldson and Chen-Li-Sheng we have a fairly complete existence theory on toric surfaces, but in higher dimensions and non-toric situations our knowledge is very incomplete. I will give an overview of some of the basic ideas in this field.
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