报告名称：On the general dual Orlicz-Minkowski problems

主办单位：数学与统计学学院

报告专家：Deping Ye

专家所在单位：Memorial University, Canada

报告时间：2020年11月9日21：30-23：30

报告地点：腾讯会议（会议ID：499755788）

专家简介：Professor Deping Ye于2009年博士毕业于美国Case Western Reserve University,师从于著名数学家Szarek教授和Werner教授（两者都是美国数学会院士）。 现任职于加拿大Memorial University,并主持加拿大国家自然科学基金(NSERC)项目。获得2017年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。 已在国际著名杂志上发表论文30多篇。 主要贡献包括一系列重要的仿射等周长不等式，开创了dual Orlicz-Brunn-Minkowski理论的研究，首次提出了general dual Orlicz-Minkowski问题以及对相关问题的深入研究。解决了著名的爱因斯坦“远处飘忽不定的幽灵”的普遍存在性这一长久未解决的难题，该论文(与G. Aubrun和S. Szarek合作)“Entanglement thresholds for random induced states” 发表在国际顶级数学杂志Comm. Pure Appl. Math.,并且引起社会各界的广泛关注和讨论。关于该工作的新闻报道 “Einstein's 'spooky action' common in large quantum systems”，“Quantum entanglement isn’t only spooky, you can’t avoid it” 和 “Quantum entanglement common in large dimension” 曾在Google搜索中出现超过360000（36万）个搜索条。

报告摘要：The famous optimal mass transportation problem is one of the most important problems in mathematics and many related areas. Under certain conditions, such a problem can be reformulated by some second order elliptic partial differential equations, i.e., the Monge-Ampere type equations. Contributions in these areas have produced several awardees of the Nobel prize, Fields prize and Wolf prize).

In convex geometry, it is well-known that the celebrated Minkowski problem can be reformulated by some Monge-Ampere equations. This problem was initiated by Minkowski over a century ago, and has found fundamental applications in many areas, such as analysis, geometry, and partial differential equations.

In my talk, I will present our recent contributions on the general dual Orlicz-Minkowski problems, which is arguably the most general extension of the Minkowski problem. In particular, I will explain our motivation and solutions to the general dual Orlicz-Minkowski problems.

邀请人：向妮