题  目:  Hyperbolicity, Yau's form of Schwarz inequality and the canonical class inequality on the moduli stacks of polarized manifolds.

报告人： 左康教授

时  间： 12月26日 下午 2:30-4:30
12月28日 下午 2:00-4:00
1月4日   下午 2:30-4:30

地  点： 管理科研楼 1518

摘  要:  My lecture is based on the joint works with E. Viehweg and the on going joint program with J. Lu and S-L. Tan.  The lecture contains three parts:

1. I shall explain briefly Hodge structure, Variation of Hodge structure and the associated Higgs bundle.

2. Constructing Higgs bundle arising from Kodaira-Spencer map on the relative cohomologies (of any degree) of the relative tangent sheaf attached to a family of polarized manifolds. The negativity of the kernel of the Higgs field will be discussed.

3. As application of the part 1-2 we finally show the Hyperbolicity, the generalized form of Yau's form Schwarz forthe moduli stacks of polarized manifolds and the canonical class inequality.

主办单位：中国科学技术大学数学科学学院
国家数学与交叉科学中心合肥分中心
中科院吴文俊数学重点实验室

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