Maths
279: Microlocal Analysis, Fall 2026
TuTh 12:30 PM -- 2 PM
Evans 35
Prerequisites:
Some analysis and partial differential equations background.
Textbook:
Peter Hintz, Introduction to microlocal analysis.
Recommended Reading:
Thibault Lefeuvre, Microlocal Analysis in Hyperbolic Dynamics and Geometry.
Syllabus:
Pseudodifferential operators, propagation estimates, radial estimates; applications to dynamical systems: meromorphic continuation of Ruelle zeta functions and some cases of Fried's conjecture (no background in hyperbolic dynamics will be needed); Fourier integral operators and Maslov indices; applications to mathematical general relativity.