AbstractWe study scattering rigidity in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation known on a lateral boundary. We show that, under a non-conjugacy assumption, every defining function r(x,y) of the submanifold of pairs of boundary points which can be connected by a lightlike geodesic plays the role of the boundary distance function in the Riemannian case i...
Abstract:We will discuss some applications of microlocal analysis to inverse problems, in particular the back scattering problem, Calderon's problem and inverse problems for nonlinear equations.About speaker:Gunther UhlmannProfessor Gunther Uhlmann, Walker Family Endowed Professor in Mathematics at the University of Washington, has been appointed IAS Si Yuan Professor, also joining the Univer...