Title:Gaussian isoperimetric inequality on Riemannian manifold
Speaker:韩邦先 (以色列理工学院)
Time:2019年9月18日(周三) 下午 16:30-17:30
Room:东区管理科研楼 0029cc金沙贵宾会1418室
Abstract:In recent years, optimal transport theory and its link with curvature-dimension condition of metric measure space has remarkable developments. In this talk, I will show how to use these techniques to study isoperimetric inequality on Riemannian manifolds. In particular, we can prove the rigidity of Gaussian-type (i.e. dimension- free) isoperimetric inequalities on weighted Riemannian manifolds, and obtain some beautiful quantitative estimates.
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