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复李群紧化空间上的 Kahler-Einstein 度量存在性
时间  Datetime
2019-06-14 16:00 — 17:00 
地点  Venue
Large Conference Room(706)
报告人  Speaker
朱小华 教授
单位  Affiliation
北京大学
邀请人  Host
Miaomiao Zhu
报告摘要  Abstract

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.

朱小华,北京大学数学科学学院教授。2004年获得国家杰出青年自然科学基金。2005年获得 ICTP 意大利青年科学奖。2009年当选教育部长江学者特聘教授。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。