报告题目 (Title)：Regularity of the chord log-Minkowski problem

中文标题: 弦对数闵可夫斯基问题的正则性

报告人 (Speaker)：鲁建 研究员(华南师范大学)

报告时间 (Time)：2023年11月23号（周四）16:00

报告地点 (Place)：腾讯会议：921-522-704密码：4930

邀请人(Inviter)：席东盟、李晋、张德凯

主办部门：理学院数学系

报告摘要：The chord log-Minkowski problem arises from integral geometry, which was initially proposed by Lutwak-Xi-Yang-Zhang recently. In the smooth case, it is equivalent to solving a type of nonlocal Monge-Ampere equation on the unit hypersphere. Actually, it involves a Riesz potential defined on a bounded domain. We will mainly talk about a new result on the regularity of solutions to the chord log-Minkowski problem, which is based on a joint work with Jinrong Hu and Yong Huang.