标题：On compactness of sequences of manifolds with nonnegative scalar curvature

报告人：王常亮（同济大学）

邀请人：张雅山

时间：2024年12月19日10:00-11:00

地点：澳门新葡京娱乐城 425

摘要：Gromov and Sormani conjectured that a sequence of three dimensional Riemannian manifolds with nonnegative scalar curvature and 

some additional uniform geometric bounds should have a subsequence which converges in some sense to a limit space with some generali-

zed notion of nonnegative scalar curvature. In this talk, I will discuss this conjecture, and report our works on this problem. In 

particular, we proved some precompactness results for sequences of warped product three dimensional manifolds with nonnegative scalar

curvature, and for sequences of metrics in conformal classes. This talk is based on joint works with Brian Allen, Jiewon Park, 

Christina Sormani, and Wenchuan Tian.