学术报告
【学术报告】(线上)Geometric Analysis Seminar: Hyperbolic p-sum and Horospherical p-Brunn-Minkowski theory in hyperbolic space
编辑:魏佳发布时间:2022年12月29日

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.

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