Dynamics and Geometry in the Teichmüller Space 
July 6 -10, 2015
Within the last fifteen years, Dynamics and geometry in the Teichmüller space is and area that has known considerable progress and to which many first-class mathematicians have contributed. One such recent  development is a theorem by Eskin and Mirzakhani that proves that complex geodesics and their closures in moduli space are surprisingly regular, rather than irregular or fractal, a fantastic new path that revolutionizes this area of research and was announced in 2012.
The main topics we want to focus on in this workshop are at the border with geometry, algebraic geometry, topology, dynamical systems, ergodic theory and number theory.

We are aiming at four fifty-minute talks per day and a total of 18 talks. This format is particularly adapted as it leaves a lot of space for discussion and informal  work in smaller groups. This conference is aimed at experts in those areas but is also particularly designed for young researchers.

Scientific Committee

Artur Avila (Université Paris Diderot)
Alex Eskin (University of Chicago)
Pascal Hubert (Aix-Marseille Université)
Erwan Lanneau (Institut Fourier, Grenoble)
Anton Zorich (Université Paris Diderot)

Organizing Committee

Pascal Hubert (Aix-Marseille Université)
Erwan Lanneau (Institut Fourier, Grenoble)
Anton Zorich (Université Paris Diderot)


Classification of Higher Rank Orbit Closures in Hyperelliptic Components of Strata and Finiteness Results for Teichmuller Curves

On « Circle » Averages on Flat Surfaces

The Hurwitz Constant is Isolated in Each Stratum

Stability of Minimal Interval Exchange Transformations

On the Algebraic Hull of the Kontsevich-Zorich Cocycle and Applications to Finiteness Theorems

Zero Lyapunov Exponents of the Kontsevich-Zorich Cocycle

On the Ergodicity of Billiards in Non-Rational Polygons

Limits of (Real-Normalized) Meromorphic Differentials and their Zeroes on Nodal Riemann Surfaces


Generic Measures for Interval Exchange Transformations

Coupled Rotations and Snow Falling on Cedars

On Renormalized Volume

Quasimodularity of Siegel-Veech Constants and Large Genus

Kronecker’s Congruence and Teichmuller Curves in Positive Characteristic

Cohomology Classes of Strata in the Space of Differentials

The Horocycle Flow on Eigenform Loci

Multiple Mixing and Ratner Property in Area-Preserving Flows
(based on joint work with Kanigowski and Kulaga)

  • Barak Weiss (Tel Aviv University)
    Everything is illuminated (except possibly for finitely many points)

The Boundary of an Affine Invariant Submanifold