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.
