A relative trace formula in obstacle scattering
- Date: Wednesday 5 February 2020, 16:30 – 17:30
- Location: Roger Stevens LT 09 (8M.09)
- Type: Analysis, Seminars, Pure Mathematics
- Cost: Free
Professor Alexander Strohmaier (University of Leeds) will present his research in Analysis.
I will briefly remind the audience about trace formulae in spectral geometry of compact domains and will then explain the changes in the non-compact setting and I will define the scattering matrix in the context of the Dirichlet Laplacian of a non-compact domain. I will then review the Birman-Krein formula: a classical theorem that relates the trace of the difference of two operators to the scattering matrix.
The main result will be that a relative trace formula that allows for a much larger class of test functions than the original Birman-Krein formula. If time permits I will explain an application of this formula in physics. (Joint work with F. Hanisch and A. Waters)