Seminars & Colloquia Calendar
Quantitative stratification of stationary connections and some recent progress on the global gauge problem
Yu Wang (Northwestern University)
Location: Hill 705
Date & time: Tuesday, 27 March 2018 at 3:00PM - 4:00PM
Abstract: Given a connection A with L^2—curvature satisfying the stationarity equation, we are interested in studying its singular structure. In this talk we introduce a quantitative way to stratify the singular sets. Our main results include a Minkowski Volume estimate and the rectifiability of this quantitative stratification, which leads to the rectifiability of the classical stratifications Sk(A) for all integers k. To be precise, we first recall certain background preliminaries needed for this talk. After giving the statements of the main results, I will briefly describe the machinery used in the proof, and explain the new points and the major difficulty that we have faced. The main results in the talk are based on a work by myself in the last academic year.
If time allows I will further discuss some open problems regarding the global gauges in this field, and recent progress in those directions made jointly with Aaron Naber