Kollar component and its application to Jonsson-Mustata Conjecture
复几何与代数几何专题报告
报告题目(Title)：Kollar component and its application to Jonsson-Mustata Conjecture
报告人(Speaker)：周楚宇 博士 （北京大学国际数学中心）
地点(Place)：后主楼1223
时间(Time)：2019年11月20日下午2:00-3:00
邀请人(Inviter)：汪志威
报告摘要
In this talk, I will first introduce the concept of Kollar components, by which I explain the Global-Local correspondence between Fano varieties and klt singularities. Then I will describe the relationship between Jonsson-Mustata Conjecture in algebraic setting and Openness Conjecture in analytic setting. As an application of Kollar component, we give a recent proof (by Chenyang Xu) of Jonsson-Mustata Conjecture, which leads to a purely algebraic proof of Openness Conjecture. This is a report of works of many people, including M. Jonsson, M. Mustata, Chenyang Xu etc.
