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

报 告 人：鲁建，华南师范大学

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.

报告人简介：鲁建，2013年在清华大学获博士学位，现为华南师范大学研究员。研究方向主要为偏微分方程，特别是Monge-Ampere型方程及其在几何中的应用。在数学学术期刊 Adv. Math., Calc. Var. PDE, J. Funct. Anal., Trans. AMS,等主流期刊上发表研究论文十余篇。主持国家自然科学基金优秀青年科学基金项目、面上项目等课题。

报告时间：2023年10月16日 10:00-11:30

报告地点：文渊楼 B119

主办单位：伟德国际1946源自英国