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Seminar on microlocal analysis and applications
Semiclassical oscillating functions of isotropic type and their applications
Semiclassical oscillating functions of isotropic type and their applications
Organizers
Xi Chen
,
Long Jin
Speaker
Zuoqin Wang
Time
Friday, April 8, 2022 10:00 AM - 11:00 AM
Venue
1129B
Online
Zoom 618 038 6257
(SCMS)
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 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).