June 7, 2019
TITLE 1: Analysis of singular sets in geometric analysis
TITLE 2: Analysis of singular sets in calibrated geometric analysis
ABSTRACT: I will give an overview of known regularity results for area minimizing currents and their (known or potential) applications to problems in calibrated geometry. In the first talk I will focus on the classical second order theory (Almgren, etc.), while in the second one I will emphasise tools that can be used to obtain regularity information by exploiting the first order information given by the calibrating condition. If time permits, I will address other variational problems (e.g. harmonic maps) that have instances in which a first order information can provide finer conclusions on the singular behaviour.
