20260630 何维勇 L-p Brunn-Minkowski inequality and uniqueness

偏微分方程与几何分析学术报告

报告时间：6.30下午4:30.

报告地点：学院425报告厅

报告人：何维勇 教授（University of Oregon)

邀请人：徐露

报告题目：L-p Brunn-Minkowski inequality and uniqueness

报告摘要：We discuss the uniqueness of L-p Minkowski problem with even smooth data. We prove that there is a unique p-0 such that the even L-p Minkowski problem has a unique solution at p=p-0. Such p-0 can be characterized as the first even eigenvalue of Hilbert Brunn-Mikowski operator. This is joint work with Junbang Liu.

报告人简介：何维勇教授的研究方向为微分几何，几何分析，几何偏微分方程。他在复几何（Calabi flows，Extremal Kahler metrics），Sasaki 几何， 几何偏微分方程（复蒙日-安培方程，Donaldson 方程， Gursky-Streets方程等），以及近复几何，高阶椭圆和抛物型偏微分方程等领域取得了领先的前沿结果，结果发表在Comm. Pure Appl. Math.，Amer. J. Math.，Math. Ann.，Adv. Math.，Forum Math. Sigma，Trans. Amer. Math. Soc.，J. Funct. Anal.等学术期刊上。