<p>题目：Alexandrov spaces of relatively maximal volume</p>



<p>报告人：    Prof. Xiaochun Rong （Rutgers University）</p>



<p>时间：5月17日（周一）　下午　14：00－15：00</p>



<p>地点：资源大厦1328教室</p>



<p>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.</p>



<p>欢迎有兴趣的老师和同学们参加</p>



<p>PS：茶点时间为15：00-15：30</p>