In this talk, the speaker will discuss the inverse problem of recovering a Lorentzian metric in $\mathbb R^{n+1}$, up to isometry, from the lengths of maximizing time-like geodesics, assuming that the metric is close to the Minkowski metric.
About the speaker
Prof. Hanming Zhou received his PhD in Mathematics from the University of Washington in 2015. He was 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.