Events

Date: 10 June 2025   Time: 14:00 - 15:00

Location: MB503

Title: Reconstructions of space-times from scattering data.

Abstract: I address the problem of reconstructing space-times from measurements of their scattering data for suitable wave equations on the background geometry. For linear waves, the reconstruction allows one to reconstruct just the operator itself, assuming knowledge of the background geometry; moreover the best results deal with ``finite'' scattering, where measurements do no occur at infinity, but rather on a suitably long time-like cylinder--this is joint with A. Feizmohammadi and L. Oksanen. For non-linear waves (of power-law type), one can exploit the nonlinearity to reconstruct the space-time metric from knowledge of the classical scattering map, in asymptotically Minkowskian backgrounds. The latter is joint with H. Isozaki, M. Lassas, and T. Tyni.