报告人：胥世成（首都师范大学）

时间：2021年11月18日14:00开始

腾讯会议ID：548 038 1800

摘要：One of the fundamental tools in the study of geometry and topology of manifolds with various curvature bound is the Cheeger-Gromov convergence theorem, which implies that the space M(n,v,D) of all closed Riemannian n-manifolds of sectional curvature |K|<=1, volume >v>0 and diameter <= D is precompact in the C^{1,\alpha}-topology. This C^{1,\alpha}-convergence theorem had been generalized by Anderson  to Riemannian manifolds with bounded Ricci curvature. We give an optimal generalization on the limit spaces of collapsed Riemannian manifolds with bounded Ricci curvature. As applications, we construct a canonical fibration structure on a collapsed manifolds with local Ricci bounded covering geometry. This is a joint work with Zuohai Jiang and Lingling Kong.

简介:胥世成，首都师范大学数学科学学院副教授，研究方向为黎曼几何。主持国家自然科学基金创新群体子课题、面上项目、北京市重点研究专题子课题等项目。在J.Diff. Geom., Trans. Amer. Math. Soc. ,等杂志上发表多篇文章。

邀请人：邵红亮

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