37000gcom威尼斯2024第13期 数理大讲堂

主讲人： 张永甲 长聘教轨副教授（上海交通大学）

主持人： 陈兵龙 教授 （中山大学）

讲座时间：2024年4月10日下午16:50-17:40

讲座地点：阿外楼酒店报告厅

讲座题目：On noncollapsed F-limit metric solitons

摘要： In this talk, we will introduce the metric solitons——they are natural generalizations of Ricci shrinkers, and they arise as singularity models when studying the Ricci flow with the tool of F-convergence. We will show that on the regular part of a noncollapsed F-limit metric soliton, many classical results concerning a Ricci shrinkers hold, such as, a potential function growth estimate, a volume growth estimate, a global Sobolev inequality, and a quadratic lower bound of the scalar curvature. This is a joint work with Pak-Yeung Chan and Zilu Ma.