IAS Program on Inverse Problems, Imaging and Partial Differential Equations

Lens Rigidity for a Particle in a Yang-Mills Field


In this talk, the speaker considers an inverse problem related to the motion of a classical colored spinless particle under the influence of an external Yang-Mills potential $A$ on a compact manifold with boundary of dimension $\geq 3$. The speaker shows that under suitable convexity assumptions, he and his collaborators can recover the potential $A$, up to gauge transformations, from the lens data of the system, namely, scattering data plus travel times between boundary points. The talk is based on joint work with Gabriel Paternain and Gunther Uhlmann.

About the speaker

Prof. ZHOU Hanming received his PhD in Mathematics from the University of Washington in 2015. He then became a Postdoctoral Research Associate at the University of Cambridge during 2015-2017. He joined the University of California, Santa Barbara in 2017 and is currently an Assistant Professor at the Department of Mathematics.

Prof. Zhou's research focuses on the mathematical analysis of inverse problems and their connections with concrete applications, often motivated by problems arising in medical imaging, geophysics, mathematical physics etc. His work is at the interface of several disciplines including partial differential equations, differential geometry, microlocal analysis and mathematical physics.

About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/inverseproblems.

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