Speaker:  Qin Li (University of Wisconsin)

Title:  Multiscale inverse problem, from Maxwell to Boltzmann to Calderon

Abstract:  Inverse problems, spanning from nanometer to meter scales, such as inverse Maxwell, inverse Boltzmann, and inverse diffusion (Calderon), pervade diverse scientific domains. Hilbert’s 6th problem hints at a unified mathematical framework for these disparate challenges. In this talk, we explore the interconnections of these inverse problems, and provide the argument that they fundamentally represent the same mathematical essence across scales. We also discuss the implications of this unification on computational methodologies. It will be a light-hearted talk.