# $L^2$ 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).