X-ray Transform and Lens Rigidity When There is Trapping

Abstract

Geodesic X-ray transform consists in integrating a function along all possible geodesics joining boundary points over a manifold with boundary. The speaker will discuss recent results about injectivity of X-ray transform and reconstruction formula when the metric is negatively curved but has non-trivial trapped set.

About the speaker

Dr. Colin Guillarmou received his PhD at the University of Nantes in 2004 and worked as a postdoc at Purdue University in 2005. Then he joined the Centre National de la Recherche Scientifique (CNRS) as a researcher and stationed at the Université Nice Sophia Antipolis from 2005 to 2009 and at École Normale Supérieure from 2009 to 2016. He is currently a Research Director for CNRS at Université Paris-Sud.

Dr. Guillarmou’s research interests include Partial Differential Equations, Differential Geometry and Spectral Theory. He was awarded the CNRS bronze medal in mathematics in 2010.

About the program

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