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题目：Alexandrov spaces of relatively maximal volume 延伸阅读

报告人： Prof. Xiaochun Rong （Rutgers University）

时间：5月17日（周一）　下午　14：00－15：00

地点：资源大厦1328教室

摘要: The radius of a metric space $X$ is the smallest radius of a metric ball that covers $X$. As in the Riemannian case, the volume of an $n$-dimensional Alexandrov space $A$ with curvature $ge kappa$ and radius $le r$ is bounded above by the volume of an $r$-ball in the $n$-dimensional space form of constant curvature $kappa$. In 1992, Grove-Petersen classified the compact Alexandrov spaces whose volume achieves the maximal value, while almost all compact Riemannian manifolds are excluded. In this talk, we will report a resent work that extends the classification to compact Alexandrov spaces whose volume are maximal when restricting to the Alexandrov spaces such that space of directions at the center of an $r$-ball are the same. This is a joint work with Nan Li.

欢迎有兴趣的老师和同学们参加

PS：茶点时间为15：00-15：30