2021 Summer Analysis on Metric Spaces Seminar


2021年6月25日 (金) 10:00 11:00


On Zoom


Professor Shin-ichi Ohta, Osaka University and RIKEN

Title: Localization and isoperimetric inequalities



The localization (a.k.a. needle decomposition) is a powerful technique reducing an inequality on a high-dimensional space to its one-dimensional counterpart on geodesics. Recently the localization was generalized to Riemannian manifolds as well as metric measure spaces, and applied to analyze various geometric and analytic inequalities. In this talk, we focus on isoperimetric inequalities, and discuss also their rigidity and stability if time permits


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