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Room P3.10, Mathematics Building
San Vũ Ngọc, 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?
References
- Terry Tao blog on Weyl quantization
- S. Vũ Ngọc, Symplectic Techniques for Semiclassical Completely Integrable Systems, 2005
- S. Vũ Ngọc, Systèmes intégrables semi-classiques: du local au global, 2006
- D. Sepe and S. Vũ Ngọc, Integrable systems, symmetries, and quantization, 2017