Seminars

Fibered Hyperkähler Calabi-Yau manifolds and semiflat metrics

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Chen-Yu Chi

2011-12-28
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.