Yuri Lima (Universidade Federal do Ceara) will give a mini-course on A toolkit of non-uniform hyperbolicity.
Abstract: Click here for the abstract.
Lecturer 1: 4:00pm-5:30pm, Monday 11 February, Room B3.03 (Zeeman)
Lecture 2: 4:00pm-5:30pm, Monday 18 February, Room B3.01 (Zeeman)
Lecture 3: 4:00pm-5:30pm, Monday 25 February, Room B3.01 (Zeeman)
Etienne Le Masson (Cergy-Pontoise and Warwick IAS) will give a mini-course Quantum chaos on large genus hyperbolic surfaces.
Abstract: The goal of this mini-course is to present recent results concerning the behaviour of eigenfunctions of the Laplacian on hyperbolic surfaces of large genus. We will introduce the notion of Benjamini-Schramm convergence of sequences of surfaces to the hyperbolic plane and use ergodic theory to prove in particular a result of delocalisation of the $L^2$-mass of eigenfunctions (quantum ergodicity) in this setting.
Lecture 1: 2:00pm, Wednesday 24 October, Room B3.02
Lecture 2: 2:00pm, Wednesday 31 October, Room B3.02
Lecture 3: 2:00pm, Wednesday 7 November, Room B3.02