报告题目：The Minkowski type problems for log-concave functions

主 讲 人： Professor Deping Ye (Memorial University of Newfoundland)

报告时间： 2024年7月1日 周一上午 10:00-12:00

报告地点： 数理楼224

报告摘要：

There is a growing body of work on the geometric theory of log-concave functions. Among the most important are the Minkowski type problems for log-concave functions, which are closely related to the Monge-Ampere type equations.

In this talk, I will talk about the $L_p$ Asplund sum of log-concave functions, explain the $L_p$ surface area measures for log-concave functions, discuss related Minkowski type problems, and show our solutions to this Minkowski type problem for log-concave functions. I will also present similar results for the dual Orlicz setting, where the measure of interest is obtained via a variational formula of the Orlicz moment in terms of the Asplund sum.

个人简介：

Professor Deping Ye，2000年本科毕业于山东大学，2000-2003年于浙江大学读研， 2009年博士毕业于美国Case Western Reserve University，现为加拿大Memorial University终身教授，并主持加拿大国家自然科学基金(NSERC) 项目。现任加拿大数学会旗舰杂志Canadian Journal of Mathematics 和 Canadian Mathematical Bulletin的副主编(Associate Editor)， 并于2017年获得JMAA Ames奖。 长期从事凸几何分析，几何和泛函不等式， 随机矩阵，量子信息理论， 和统计学等领域的研究。 已在 Comm. Pure Appl. Math.，Adv. Math., J. Funct. Anal., Math. Ann., CVPDE等国际著名杂志（数学类， 数学物理类，和统计类） 上发表论文40篇。