院士论坛及杰出学者讲坛|
发表时间:2019-07-08 阅读次数:265次
报告题目: 杰出学者讲坛(四十二):K\"ahler-Einstein metrics on Fano manifolds with large auto-morphism group
报 告 人:朱小华 教授
报告人所在单位:北京大学
报告日期:2019-07-08 星期一
报告时间:10:00-11:00
报告地点:光华东主楼2201
  
报告摘要:

摘要:The famous Yau-Tian-Donaldson's conjecture asserts that the existence K\"ahler-Einstein metrics on Fano manifolds is equivalent to the K-stability. However, the K-stability is an infinite dimensional condition, which is related to study infinitely possible degenerations of the manifold. A natural question is how to verify the K-stability in finite steps. In this talk, we hope to give a picture for this question through a class of examples, such as toric Fano manifolds, $G$-manifolds in various views from differential geometry, algebraic geometry, and differential equation. Also I will give a general picture through Tian's CM-stability.

简介:朱小华,北京大学数学科学学院教授。2001年获得香港求是基金杰出青年奖。2004年获得国家杰出青年自然科学基金。2014年获得国家自然科学二等奖。2017年荣获第十六届陈省身数学奖。他的主要研究方向是微分几何,几何分析。已发表SCI数学论文40余篇。多篇发表在国际一流的数学杂志,如Acta Math., JAMS,  Duke J. Math, Amer. J. Math., Comm.Math. Helv., Advances in Math.,GAFA, Crelle, Tran. AMS 等。

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本年度学院报告总序号:14

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