07-21【赵 唯】腾讯会议 几何分析系列报告

发布者:卢珊珊发布时间:2021-07-13浏览次数:10

题目: Uncertainty Principles on Riemannian-Finsler manifolds


报告人:赵唯 副教授(华东理工大学)


时间:2021年7月21日15:00-17:00


腾讯会议:ID:587 674 019


摘要:This talk is devoted to sharp uncertainty principles (Heisenberg-Pauli-Weyl, Caffarelli-Kohn-Nirenberg, and Hardy inequalities) on Riemannian-Finsler manifolds. Under mild assumptions, the existence of extremals corresponding to the sharp constants in the Heisenberg-Pauli-Weyl and Caffarelli-Kohn-Nirenberg inequalities fully characterizes the nature of the Riemannian-Finsler manifold. It turns out in particular that the Busemann-Hausdorff measure is the optimal one in the study of sharp uncertainty principles. On the other hand, we will talk about sharp weighted Hardy inequalities concerning distance functions from any submanifolds.