37000gcom威尼斯2024第9 期 数理大讲堂

主讲人：黄耿耿  副教授  （复旦大学）

主持人： 李海中  教授 （清华大学）

讲座时间：2024年4月10日上午10:30-11:20

讲座地点：37000gcom威尼斯岩松堂白鹿厅

讲座题目：Long time regularity of the Gauss curvature flow with flat sides

摘要： In this talk, we prove the long time regularity of the interface in the $p$-Gauss cuurvature flow with flat sides in higher dimensions with $p>\frac1n$. Here the interface is between the uniformly convex part and the flat part of the flow. In dimension $2$, this problem has been solved by Daskalopoulos-Lee for $p=1$ and by Kim-Lee-Rhee for $p\in(1/2,1)$. This is a joint work with Prof. Wang Xu-Jia and Zhou Yang.