Mengxuan Yang (UC Berkeley)

The APDE seminar on Monday, 10/3, will be given by our own Mengxuan Yang in-person in Evans 740, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, email Sung-Jin Oh (sjoh@math.berkeley.edu).

Title: Wave trace and resonances of the Aharonov–Bohm Hamiltonian

Abstract: I want to 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, as well as some
applications to scattering resonances in this setting.