报告题目：Stability of geometric inequality in Rⁿ: Growth other than 2

报 告 人：张翼副研究员（中科院数学与系统科学研究院）

报告时间：2023年11月29日  9:00-10:00

报告地点：理学院五楼数学研究中心报告厅528

报告摘要：

In the stability of geometric inequalities, usually one gets a growth with power 2 on the right-hand side of the inequality. For example, a remarkable result by Fusco, Maggi, and Pratelli says that, for any set of finite perimeter E c Rⁿ with |E|=|B| and a barycenter at the origin, one has P(E)-P(B)≥c(n)|EΔB|². This phenomenon also appears in some other follow-up work. During my talk, I introduce some recent results on the cases where the power is no longer 2 in Euclidean spaces.

报告人简介：

张翼，中科院数学与系统科学学院副研究员，国家级人才计划入选者。博士毕业于芬兰于韦斯屈莱大学（University of Jyvaskyyla），导师为Pekka Koskela教授，之后分别在波恩大学和ETH跟随H. Koch教授和菲尔兹奖得主A. Figalli教授做博士后。主要研究方向为复分析，函数空间、无穷调和以及不等式的稳定性等，已在《Duke Math. J.》《J. Eur. Math. Soc.》《Comm. Pure Appl. Math.》《J. Math. Pures Appl.》《Arch. Ration. Mech. Anal.》等权威数学杂志发表学术论文二十余篇。