Data-driven modeling of dynamical systems: A systems theoretic perspective
The link for participation in the event is the following: fernuni.zoom.us/j/64850280617.
Thursday, May 19, 2022
5 p.m., on Zoom
A natural notion of energy for a map is given by measuring how much the map stretches at each point and integrating that quantity over the domain. Harmonic maps are critical points for the energy and existence and compactness results for harmonic maps have played a major role in the advancement of geometric analysis. Gromov-Schoen and Korevaar-Schoen developed a theory of harmonic maps into metric spaces with non-positive curvature in order to address rigidity problems in geometric group theory. In this talk we consider harmonic maps into metric spaces with upper curvature bounds. We will define these objects, state some key results, and demonstrate their application to rigidity and uniformization problems.
Christine Breiner is an Associate Professor of Mathematics at Brown University. Breiner's research interests include topics in geometric analysis and partial differential equations. She studies minimal and constant mean curvature surfaces and harmonic maps and looks at the intersection of differential geometry, analysis, and topology.