几何分析系列报告之19【徐博通】

摘要：In this talk, for any positive number p, we introduce a sum of two sets in hyperbolic space called the hyperbolic p-sum. Then we develop a Brunn-Minkowski theory in the hyperbolic space using the hyperbolic p-sum and call it the Horospherical p-Brunn-Minkowski theory. We will discuss progress made on central problems within this theory, including the Horospherical p-Minkowski problem, the Horospherical p-Christoffel-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.

报告人简介：徐博通，2023年7月从清华大学博士毕业，导师是李海中教授，研究方向是微分几何，即将前往以色列理工做博士后。