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Special lecture series on:  Kähler-Einstein metrics on Fano manifolds.

  • 16th May, 2-4pm, Part I:
    Lecture A. General background in Kahler geometry. The Futaki invariant and the definition of K-stability. Strategy of proof of the main result. (Arxiv:1210.7494)
    Lecture B. Review of Gromov-Hausdorff convergence and Cheeger-Colding theory. The Hörmander technique in complex analysis. Complex algebraic structures on GH limits. (Arxiv:1206.2609)
  • 23rd May, 2-4pm, Part II:
    Lecture A. Foundations of theory of Kahler metrics with cone singularities along a divisor. Schauder estimates. Approximation by smooth metrics with positive Ricci curvature. (Arxiv:1102.1196, Arxiv:1211.4566)
    Lecture B. Extension of results in Lecture 1B to the case of cone singularities. (Arxiv:1212.4714)
  • 6th June, 2-4pm Part III:
    Lecture A. Continuation of 2B. Regularity theory for limits. (Arxiv:1212.4714, Arxiv:1302.0282)
    Lecture B. Pluripotential theory and an extension of Matsushima’s Theorem. Completion of proof. (Arxiv:1302.0282)
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