Collection Algèbre, Géométrie et Physique : une conférence en l'honneur
Organizer(s)
Date(s)
19/04/2024
Lyapunov exponents of the Hodge bundle, volumes of moduli spaces, and diffusion in periodic billiards
By Anton Zorich
I will try to describe how dynamics of certain natural flows on surfaces is governed by dynamics of the Teichmuller flow on the moduli space and by geometry of the Hodge bundle. In particular, I will try to present recent results of J. Athreya, A. Eskin, M. Mirzakhani, M. Kontsevich, and myself making the relation between the two problems rather explicit. As a model case I will consider billiards in the plane with periodic polygonal obstacles (developing ideas of V. Delecroix, P. Hubert, and S. Lelièvre).
