SeminarsComplex Monge-Ampere equations (2): Degenerate case (after S.-T. Yau)
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Chen-Yu Chi
2011-12-21
09:10:00 - 12:00:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
Dr. Chen-Yu Chi is visiting TIMS from December 12, 2011 to January 12, 2012. During his visit he is going to deliver a series a lectures on recent development on the mathematical study of Calabi-Yau manifolds from the point of view of affine geometry and Monge-Ampere equations. In particular he will start with Yau's famous proof of Calabi conjecture, including the degenerate case, and then move to Gross-Tosatti-Zhang's recent work on abelian fibrations, and to Gross-Siebert's recent work if time allowed.
References: [1] S.-T. Yau; On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere equation I, Comm. Pure Appl. Math. 31 (1978), 339-411. [2] M. Gross and B. Siebert; From real affine geometry to complex geometry, Annals of Mathematics 174 (2011), 1301-1428. [3] M. Gross, V. Tosatti and Y. Zhang; Collapsing of abelian fibred Calabi-Yau manifolds, arXiv:1108.0967.