浙大-西湖几何分析讨论班——Quantitative geometric inequalities in $\mathbb R^n$: Power growth other than 2

报告人：张翼（中科院）

时 间：2024年12月17日（星期二），下午4:00-5:00

地 点：海纳苑2幢206

摘 要：In the stability of geometric inequalities, usually one gets a growth with power $2$ as a lower bound for the difference of energy. For example, a remarkable result by Fusco, Maggi, and Pratelli says that, for any set of finite perimeter $E \subset \mathbb{R}^n$ with $|E| = |B|$ and a barycenter at the origin, one has $P(E) - P(B) \ge  c(n)|E\Delta B|^2$. 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.

联系人：江文帅（wsjiang@zju.edu.cn)