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报告题目：The Minkowski type problems for log-concave functions
报 告 人：叶德平，Memorial University, Canada
报告摘要：Recent years have witnessed the great development of geometrization of log-concave functions. In particular, many fundamental results in convex geometry have found their functional lifting, including the surface area measure, the Minkowski problem, and the Lp affine surface areas etc. In this talk, I will present our recent progress on the Minkowski type problems for log-concave functions. I will talk about the Lp Asplund sum of log-concave functions, explain the Lp 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.
报告人简介：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。
报告时间：2024年6月19日 9:30-11:00
报告地点：文渊楼B119
主办单位：数学与统计学院
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