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Midwest Dynamics and Group Actions Seminar

Sub-Riemannian dynamics and local rigidity of higher hyperbolic rank
Monday, March 8, 2021
4:00-5:00 PM
Off Campus Location
Symmetric and locally symmetric spaces are important classes of Riemannian manifolds of nonnegative curvatures. We study a rigidity question whether a less symmetric geometric condition leads to symmetric and locally symmetric space structures. The condition we consider is that every geodesic in the universal cover is contained in a totally geodesic constant curvature hyperbolic plane (such condition is called higher hyperbolic rank). We are able to obtain a local rigidity for perturbations of locally symmetric spaces. The novelty of the work is a new idea in using geometric analysis on sub-Riemannian manifolds to study dynamics of geodesic flows. We also obtain a local rigidity for some boundary actions using this new idea. This is based on a joint work with Chris Connell and Ralf Spatzier.

Zoom link: https://iu.zoom.us/j/661711533?pwd=RTFVTjMrQ1pYTCtIZzIvVGVvODV2QT09
password is 076877 if needed. Speaker(s): Thang Nguyen (University of Michigan)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics