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科学研究
The Dual Minkowski Problem for Unbounded Closed Convex Sets
邀请人:潘生亮
发布时间:2023-05-26浏览次数:

题目:The Dual Minkowski Problem for Unbounded Closed Convex Sets

报告人:Professor Deping Ye (Memorial University of Newfoundland)

时间:2023年5月30日15:30-16:30

地点:致远楼101室

Abstract: A central problem in convex geometry is to characterize the surface area measure of convex bodies. This is the well-known Minkowski problem which has found fundamental applications in analysis, PDEs, computer sciences.  Similar questions can be asked for unbounded convex sets, which are closely related to log-concave functions and convex hypersurfaces. These unbounded convex sets play important roles in analysis, probability, algebraic geometry, etc. In this talk, I will talk about some recent progress on these problems with concentration on a special case: the dual Minkowski problem for unbounded closed convex sets. I will discuss how to set up  this problem and explain our existence of solutions to this problem.

Deping Ye

教授简介:2000年本科毕业于山东大学,2000-2003年在浙江大学读研,2009年博士毕业于美国Case Western Reserve University,现为加拿大Memorial University of Newfoundland终身教授,主持加拿大国家自然科学基金(NSERC)项目3项 。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。 已在国际著名期刊 Comm. Pure Appl. Math., Adv. Math., Math. Ann., J. Funct. Anal.,Calc. Var. Partial Differential Equations 等杂志上发表论文近40篇。

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