[AN] Max Goering: Tangents and rectifiability in a rough Riemannian setting

05 November 2024 16:00 till 17:00 - Location: EEMCS Lecture Hall Chip | Add to my calendar

One of the core goals is geometric measure theory is to understand when a measure is rectifiable. Rectifiable measures are a measure-theoretic generalization of (Lipschitz) manifolds. There are two prevailing methods to study rectifiability: multi-scale analysis and blow-up analysis. In this talk, I will introduce \Lambda-tangents, a generalization of Preiss' tangent measures that I developed with collaborators Casey, Toro, and Wilson. I will focus on applications of \Lambda-tangents to extend blow-up techniques to elliptic (or anisotropic) problems beyond the harmonic (or isotropic) setting. Finally, I will compare new results discovered due to insights from \Lambda-tangents to their multi-scale counterparts.