Nonlinear Harmonic Maps and the Energy Identity

Explore nonlinear harmonic maps and the Energy Identity in this 56-minute lecture by Aaron Naber from Northwestern University, presented at the first ZhengTong Chern-Weil Symposium in Mathematics. Begin with a comprehensive introduction to nonlinear harmonic maps, examining basic examples and background. Delve into singularity formulation and the concept of defect measures, understanding their role in analyzing energy loss in H^1 function limits. Learn about the Energy Identity conjecture for nonlinear harmonic maps and its recent proof by Naber and Daniele Valorta. Gain insights into advanced mathematical concepts and their applications in this talk hosted by the University of Chicago Department of Mathematics.