UCalgary Geometric Analysis Seminar: Gunther Uhlmann

Calderón's problem (also called electrical impedance tomography) asks the question of whether one can determine the electrical conductivity of a medium by making voltage and current measurements at the boundary. I will give a survey of some of the progress made on this problem, including the more recent progress on solving similar problems for nonlinear equations and nonlocal operators.

Speaker Biography: Gunther Uhlmann is a Walker Family Endowed Professor of Mathematics at the University of Washington. He is also currently a Si Yuan Professor in the Institute for Advanced Study at the Hong Kong University of Science and Technology and a Fellow of the American Mathematical Society (AMS). His research has made seminal contributions to the fields of inverse problems, microlocal analysis, scattering theory, and image analysis. For his work in inverse problems, which includes his work on Calderón’s Problem, he has been awarded numerous distinguished positions, honours and prizes, which include: the AMS Bochner Memorial Prize (2011), the SIAM Kleinman Prize (2011), the Soloman Lefschetz Medal (2017), and the AMS-SIAM Birkhoff Prize in Applied Mathematics (2021).