Diffraction and Wave Trace of the Aharonov--Bohm Hamiltonian
组织者
陈曦
,
金龙
演讲者
Mengxuan Yang
时间
2021年11月05日 10:00 至 11:00
地点
1129B
摘要
Hormander's classic theorem shows that singularities of solutions to the wave equation propagate along the geodesic flow. Duistermaat--Guillemin trace formula gives leading order singularities of the wave trace on closed manifolds. In this talk, we will discuss the analogous results for wave equations with singular magnetic vector potentials, which correspond to the celebrated Aharonov--Bohm effect. A result on a lower bound of the number of resonances will also be discussed.