Colloquium: "Einstein Metrics and Generalizations"

Abstract: An Einstein metric, which arises naturally in general relativity and differential geometry, is a canonical structure with its Ricci curvature proportional to the metric. In general, not every manifold admits an Einstein metric; thus, it is fundamental to understand the rigidity of the structure. In this talk, we'll discuss an approach from the geometric flow viewpoint to study that question for Einstein and other generalized structures. Particularly, a common theme involves the derivation and application of elliptic equations that are inspired by the Ricci flow. I'll mention recent results and open problems.
 

Tea @ 3:45 in Cupples I, Room 200

Host: Xiang Tang