Title: Some properties of the quantum catmap
Speaker: Léo Thiébaud
Abstract: The catmap is a classical toy model for a dynamical system that is both chaotic and “quantizable”. And interesting class of such systems are geodesic flows on hyperbolic manifolds, but they are hard to manage for technical reasons. That’s why the catmap is interesting : it allows for explicit calculations, which can lead to a better understanding of more complicated systems (or at least it is said so). I’ll try to define the catmap, its quantization and some of its dynamical properties. If the time allows it I’ll try to explain why it is a counter example to the QUE conjecture.
Some snacks will be provided before and after the talk.