Speaker: Aaron Naber (IAS)

Title: Energy Identity and Nonlinear Harmonic Maps

Abstract:

We begin this talk with an introduction to linear and nonlinear harmonic maps between Riemannian manifolds, with a first goal of understanding some basic examples and uses in geometry and analysis. Unlike linear harmonic maps, which are always smooth and well behaved, nonlinear harmonic maps may exhibit singularities of various sorts. We will discuss singularities which can form, both for individual solutions and for sequences. We will give examples and discuss how they relate to the general theory, attempting to end at an explanation of the energy identity conjecture of nonlinear harmonic maps. Work discussed is joint with Daniele Valtorta.

*Pre-reception held in 2-290 at 4pm.