Shu Nakamura: Propagation of singularities for perturbed harmonic oscillators and Landau Hamiltonian

I will discuss the recurrence (or non-recurrence) of singularities of harmonic oscillators and Landau Hamiltonians with metric perturbations of short-range type. I will also discuss the microlocal smoothing and microlocal singularities of solutions to more general Schrödinger operators, which is related to the smoothness of the kernel of the evolution operators. This talk is partly based on joint work with Shikuan Mao.