Speaker: Selim Ghazouani (UCL)
Title: Quantum chaos and the ergodic theory of horocycle flows
Abstract: I will start with recalling the connection between the Schrödinger equation and the geodesic flow on a Riemannian manifold, and the breakdown of it due to interferences at the so-called Ehrenfest time. I will then put forward a (partially conjectural) connection between interference effects in the quantum world and ergodic averages of horocycle flows, when the dynamics of the geodesic flow is Anosov.