报告人：徐博通（清华大学）

时  间：2023年1月3日上午09:00-10:30

地  点：腾讯会议ID：246-495-160（无密码）

内容摘要:

In this talk, for any positive number p, we introduce the sum of two sets in hyperbolic space called the hyperbolic p-sum. Then we develop a Brunn-Minkowski theory in the hyperbolic space by using the hyperbolic p-sum, and we call it the horospherical p-Brunn-Minkowski theory. We will talk about some progress on the central problems in this theory, including the Horospherical p-Minkowski problem, the Horospherical p-Christo el-Minkowski problem, the Horospherical p-Brunn-Minkowski inequality, and the Horospherical p-Minkowski inequality. This talk is based on joint work with Prof.Haizhong Li, arXiv: 2211.06875.

个人简介：

徐博通，清华大学博士研究生。2017年本科毕业于清华大学，同年跟随清华大学李海中教授攻读博士学位。他主要从事微分几何与几何分析领域的研究，其成果主要发表在杂志 J. Funct. Anal.，Sci. China Math., Proc. AMS. 上。

联系人：夏超