题目：On the Higher-Order Affine Isoperimetric and Isocapacitary Inequalities

报告人：叶德平 教授 （纽芬兰纪念大学）

地点：致远楼101室

时间：2025年11月4日 10:30-11:30

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 $\mathbb{M}_{n,m}(\mathbb{R})$. 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.

All are welcome!