Geometric and obstacle scattering at low energy

07.01.2020, 16:15  –  Raum 1.10
Forschungsseminar Differentialgeometrie

Alden Waters (Groningen)

We consider the problem of obstacle scattering for the Helmholtz equation with the p-form Laplace Beltrami operator. On manifolds which are asymptotically Euclidean we show resolvent expansions, and expansions for the scattering matrix. The key idea is the use of plane waves. We also give a cohomological interpretation of the scattered waves allowing us to identify geometric structures from afar.