报告人：叶德平（纽芬兰纪念大学）

邀请人：张宁

报告题目：The $L_p$ Asplund sum and related Minkowski problem

报告时间：2020年11月7日（星期六）20:00-21:30

报告地点：腾讯会议ID：994 5539 6697

报告摘要：The geometric properties of log-concave functions have attracted great attention in recent years. Many fundamental results for convex bodies have found their analogues for log-concave functions. However, there were no systematic studies for the $L_p$ Asplund sum of log-concave functions and related properties. In this talk, I will discuss how to define the $L_p$ Asplund sum for log-concave functions. In particular, I will present the related variational formula which results in the $L_p$ surface area measures for log-concave functions. Hence, a Minkowski type problem can be posed to characterize such measures. I will provide our solutions to this Minkowski type problem for log-concave functions.

报告人简介：叶德平，教授，加拿大著名数学家，在凸几何分析, 几何和泛函不等式，随机矩阵，量子信息理论和统计学等研究领域中都非常活跃，已在Adv. Math.、CPAM、CVPDE等世界著名杂志上发表论文二十余篇。