The relative trace formula in electromagnetic scattering

Alden Waters (U Leeds)

Jul 03. 2023, 15:00 — 15:50

Perfectly conducting obstacles in space change the scattering of electromagnetic fields. This talk establishes a relative trace formula for electromagnetic fields, effectively comparing the two scenarios using boundary layer theory. The trace formula is difficult to obtain due to the divergence free condition in Maxwell’s equations in the absence of charge. I also discuss some of the necessary spaces for the Lipschitz case. This important formula relates the xi function to the scattering matrices for 1 forms.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory and Mathematical Relativity (Thematic Programme)
Piotr T. Chruściel (U of Vienna)
Peter Hintz (ETH Zurich)
Alexander Strohmaier (U Leeds)
Steven Morris Zelditch † (Northwestern U Evanston)