报告题目 (Title)：On the higher-order affine isoperimetric and isocapacitary inequalities
中文标题：关于高阶仿射等周不等式与等容量不等式
报告人 (Speaker)：叶德平 纽芬兰纪念大学
报告时间 (Time)：2025年11月10日（周一） 16:00-17:00
报告地点 (Place)：上海大学宝山校区GJ303
邀请人(Inviter)：席东盟、李晋、吴加勇
报告摘要：Affine isoperimetric and isocapacitary inequalities are key results in convex geometric analysis. They provide deep connections between geometric quantities that remain unchanged under volume-preserving transformations and link naturally to analysis, partial differential equations, and other areas of mathematics.
In this talk, I'll discuss a higher-order generalization of these inequalities in the space of real matrices. In this setting, I'll introduce several affine invariants, including the m-th order p-affine capacity and Orlicz projection bodies, and describe our recent results on the affine inequalities that relate them.