Semiclassical Oscillating Functions of Isotropic Type and Their Applications
Time: 2022-06-08
Published By: Wenqiong Li
Speaker(s): Zuoqin Wang (USTC)
Time: 14:00-15:00 June 14, 2022
Venue: Online
Abstract: 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 in phase space, and show that these classes are invariant under the action of Fourier integral operators (modulo the usual clean intersection condition). We will also discuss some special classes (coherent states, Hermite states) and their applications. The talk is based on joint works with V. Guillemin (MIT) and A. Uribe (U. Michigan).
腾讯会议：397-400-064
