Scattering resonances for the Aharonov-Bohm Hamiltonian

Abstract: I will discuss propagation of singularities of the magnetic Hamiltonian with singular vector potentials, which is related to the so-called Aharonov--Bohm effect. In addition, I shall discuss a Duistermaat--Guillemin type trace formula and meromorphic continuation of the resolvent, as well as their applications to scattering resonances in this setting.