$L^2$ curvature for surfaces in Riemannian manifolds

Workshop on Geometric Functionals: Analysis and Applications
Topic:$L^2$ curvature for surfaces in Riemannian manifolds
Speaker:Ernst Kuwert
Affiliation:University of Freiburg
Date:Thursday, March 7
Time/Room:2:30pm - 3:30pm/Simonyi Hall 101
Video Link:https://video.ias.edu/ws/2019/0307-ErnstKuwert

Abstract: For surfaces immersed into a compact Riemannian manifold, we consider the curvature functional given by the $L^2$ integral of the second fundamental form. We discuss an an area bound in terms of that functional, with application to the existence of minimizers (joint work with V. Bangert).