To attend this seminar, please register here: https://www.msri.org/seminars/25205

Abstract:

I'll describe some simple new tools for studying the influence of scalar curvature on the geometry and topology of 3-manifolds, via the fibers of harmonic maps to S^1 (and related pdes). I'll emphasize applications to the relationship between the Thurston norm and harmonic norm on cohomology, and briefly touch on connections with general relativity.

Level Set Methods And Scalar Curvature On 3-Manifolds