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学术报告:Recent progress on compact Kaehler-Einstein manifolds with cohomogeneity one metrics

发布时间:2017年12月18日 浏览次数:发布者:mathky

报告人:Daniel Zhuangdan Guan(关庄丹)教授

              UC, Riverside(加州大学河滨分校)

报告题目:Recent progress on compact Kaehler-Einstein manifolds with cohomogeneity one metrics

报告时间:2017年12月22日下午15:00

报告地点:海韵实验楼105

摘要:Although there are many known Kaehler-Einstein manifolds, there is so far no very practical method to check a given compact Fano manifold to be Kaehler-Einstein or not.This is also true for the Kaehler metrics with constant scalar curvatures or Calabi extremal metrics. The situation for a cohomogeneity one metrics was completely resolved.For the type III case, it was solved in my dissertation in 1992. For the remain type I and II case, the existence is equivalent to the negativity of a topological integral.The type I case was published in 2011. Therefore, the problem is reduced to check the negativity for classes of Fano manifolds. Recently, we use computer to get some insight into a class of type I Fano manifolds. This work is a joint work with a group of students.

报告人简介:关庄丹(Daniel Zhuangdan Guan),加州大学河滨分校教授,1993年博士毕业于加州大学伯克利分校,师从著名的数学家S. Kobayashi,主要研究复几何,代数几何,齐性空间和辛几何。在国际著名杂志 Invent. Math. Trans. of AMS等发表论文50多篇。

联系人:邱春晖教授

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