IASM Distinguished Lectures:Kähler-Einstein metric, K-stability and moduli spaces15:00-16:00

时间: 7月27日, 星期四, 15:00-16:00

地点:7报告厅

报告人:许晨阳Chenyang Xu (Princeton University)

   

摘要:The question of whether a smooth complex variety with a positive first Chern class, called a Fano variety, has a Kähler-Einstein metric has been a major topic in complex geometry since the 1980s. In the last decade, algebraic geometry, or more specifically higher dimensional geometry has played a surprising role in advancing our understanding of this problem. The interplay between complex geometry and algebraic geometry has also provided deep insights into higher dimensional algebraic geometry itself, peaked by the construction of a projective moduli space that parametrizes Fano varieties. More precisely, the moduli space parametrizes Fano variety satisfying the stability condition which is used to characterize the existence of a Kähler-Einstein metric - known as K-stability. In the lecture, I will explain the main ideas behind the recent progress of the field. 

报告人介绍许晨阳,数学家,普林斯顿大学教授。在北京大学获得学士、硕士学位,并于2008年获得普林斯顿大学博士学位。研究方向为基础数学核心领域代数几何。2014年获得国家杰出青年科学基金资助,并被评为北京大学长江学者特聘教授;2016年获得拉马努金奖;2017年获选庞加莱讲座教席;2018年全职进入麻省理工学院数学系任教;2020年获得2021 年度科尔代数学奖。