## Geometry and Dynamics on Moduli Spaces

**Date:**
28 September - 2 October 2015

**Location: ** Mathematical Institute, University of Oxford

**Event type:**
CRC Workshop

**Organisers: ** Alex Eskin (Chicago), Giovanni Forni (Maryland), Anton Zorich (Paris 7)

The moduli space of curves is important in both algebraic geometry and geometric topology. It also supports some interesting dynamical systems. The dynamics of the SL(2,ℝ)-action and of the Teichmüller geodesic flow on the moduli space of curves, and the asymptotic monodromy of the Hodge bundle along this flow have numerous applications to the dynamics and geometry of measured foliations, to the dynamics of billiards in polygons and of interval exchange transformations, and to the geometry of flat surfaces.

The dynamics on the moduli space and its geometry interact on many levels, some of which are only now emerging. This workshop aims to survey some of the recent deveopments in the area.

**Speakers:** Yves Benoist (Paris Sud), Simion Filip (Chicago), Pascal Hubert (Marseille), Igor Krichever (Columbia), François Labourie (Paris Sud), Erwan Lanneau (Fourier), Elon Lindenstrauss (Hebrew), Howard Masur (Chicago), Carlos Matheus (Paris 13), Maryam Mirzakhani (Stanford), Martin Möller (Goethe), Andrei Okounkov (Columbia), Kasra Rafi (Toronto), Caroline Series (Warwick), Corinna Ulcigrai (Bristol), Amie Wilkinson (Chicago), Scott Wolpert (Maryland), Alex Wright (Stanford), Jean-Christophe Yoccoz (College de France), Peter Zograf (Steklov), Dmitri Zvonkine (Jussieu)