Abstract:  

The inverse problem we address in this talk is whether we can determine the structure of a region in space-time by measuring point light sources coming from the region. We can also observe gravitational waves since the LIGO detection in 2015. We will also consider inverse problems for nonlinear hyperbolic equations, including Einstein's equations and an equation arising in nonlinear acoustics, involving active measurements.

Bio:

Professor Gunther Uhlmann is the world’s leading mathematician on inverse problems. He is now the Walker Family Endowed Professor in Mathematics at the University of Washington and IAS Si Yuan Professor at HKUST.

Professor Gunther Uhlmann is the Simons Fellow, Fellow of the American Mathematical Society, a member of the American Academy of Arts and Sciences, and a foreign member of the Finnish Academy of Sciences. In 2011, he was awarded the Bôcher Memorial Prize by AMS and the Kleinman Prize by SIAM. Prof. Uhlmann is also the recipient of the 2021 AMS-SIAM George David Birkhoff Prize in Applied Mathematics.