18.157 - Introduction to Microlocal Analysis (Spring 2012)

Instructor: Victor Guillemin

Office: Room 2-270

Email: vwg [at] math . mit .edu

Lectures: MWF, 11, Room 2-151

COURSE DESCRIPTION

The semi-classical theory of partial differential equations. Discussion of Pseudodifferential operators, Fourier integral operators, asymptotic solutions of partial differential equations, and the spectral theory of Schroedinger operators from the semi-classical perspective. Heavy emphasis placed on the symplectic geometric underpinnings of this subject.

Prerequisites: 18.155