Speaker: 

Zuoqin Wang

Institution: 

USTC and MIT

Time: 

Thursday, February 20, 2020 - 2:00pm to 3:00pm

Host: 

Location: 

340P Rowland Hall

Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semi-classical analysis. In this talk I will describe how to associate spaces of semi-classical oscillatory functions to isotropic submanifolds of phase space, and sketch their symbol calculus. As a special case we obtain the semi-classical version of the Hermite distributions of Boutet the Monvel and Guillemin. I will also discuss a couple applications of the theory. This is based on joint works with Victor Guillemin and Alejandro Uribe.