Intrinsic Flat Limits with No Geodesics

Event time: 
Monday, July 29, 2019 - 4:00pm
LOM 206
Demetre Kazaras
Speaker affiliation: 
Stony Brook University
Event description: 
We study the structure of intrinsic flat limits of manifolds with lower scalar curvature bounds. In particular, in joint work with Sormani and Basilio, we exhibit a sequence of closed  positive scalar curvature manifolds intrinsic flat converging to the sphere with a Euclidean metric structure, restricted to the standard embedding of the sphere. This is the first example of an intrinsic flat limit with no geodesics.