Title: Integrable systems, symmetries and quantization,
Abstract: These notes correspond to a mini-course given at the Poisson 2016 conference
in Geneva. Starting from classical integrable systems in the sense of
Liouville, we explore the notion of non-degenerate singularity and expose
recent research in connection with semi-toric systems. The quantum and
semiclassical counterpart will also be presented, in the viewpoint of the
inverse question: from the quantum mechanical spectrum, can you recover the
classical system?