Semiclassical oscillating functions of isotropic type and their applications
组织者
陈曦
,
金龙
演讲者
Zuoqin Wang
时间
2022年04月08日 10:00 至 11:00
地点
1129B
线上
Zoom 618 038 6257
(SCMS)
摘要
Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillating functions to isotropic submanifolds of phase space, and show that these classes are invariant under the action of Fourier integral operators (modulo the usual clean intersection condition). Some sub-classes (coherent states, Hermite states) and applications will also be discussed. This is based on joint works with V. Guillemin (MIT) and A. Uribe (U. Michigan).