SCAIM Seminar: Adrian Nachman University of Toronto

Abstract: A new class of Inverse Problems seeks to significantly improve both the quantitative accuracy and the resolution of traditional inverse boundary value problems by using data which can be determined in the interior of the object.

I will briefly explain how such measurements of current density can be obtained using Magnetic Resonance Imaging in a non-standard way. Imaging electric conductivity then leads to beautiful mathematics involving minimal surfaces in a conformal metric determined by the measured data, and a corresponding variable coefficient least gradient problem.