Geometry and Topology Seminar: Rigidity of Totally Geodesic Hypersurfaces in Negative Curvature

Abstract:  I will talk about some rigidity phenomena involving minimal and totally geodesic hypersurfaces in negatively curved manifolds. I will move from rigidity statements involving curvature, for which the tools include Ricci flow, the Besson-Courtois-Gallot natural maps, and Ratner's theorems from homogeneous dynamics, to curvature-free rigidity statements for which properties of Anosov flows become essential.

Host: Charles Ouyang

*Note: this talk will be virtual over Zoom. To join the Zoom, please use the following link: https://wustl.zoom.us/j/95193027713?pwd=b3dkQmRrSHg1UGd0MzI5SzNNNUdydz09