IST Lecture Series in Algebraic Geometry & Physics   RSS

20/02/2019, 11:30 — 12:30 — Room P3.10, Mathematics Building
, IRMAR, Université de Rennes 1

Microlocal analysis, quantization and integrable systems (III)

In the third lecture, I will concentrate on the applications of microlocal analysis to integrable systems. What is the quantum analogue of the classical singular lagrangian foliation? How to compute the joint spectrum of commuting operators? In the case of semitoric sytems, I will present recent results concerning the inverse question: can you recover the symplectic geometry from the quantum spectrum?