Title：Gaussian isoperimetric inequality on Riemannian manifold
Time：2019年9月18日（周三） 下午 16:30-17:30
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.