• Speaker: Chao Li
• Time: 10:10-11:10
• Abstract: Stable minimal surfaces in 3-manifolds have been extensively used to probe the topology of the ambient space. Important results include rigidity theorems in 3-manifolds with nonnegative Ricci or scalar curvature. In this minicourse, I will discuss how one may extend these results to stable minimal hypersurfaces in 4-manifolds. I will start with a few examples illustrating various non-rigidity phenomena and prove a rigidity theorem under the combination of sectional and scalar curvature conditions.