Dynamics of the Weil-Petersson geodesic flow

CONFERENCE DESCRIPTION

This workshop will bring together a variety of ideas from disparate areas of mathematics. One of the main goals of this workshop will be to bring researchers from different cultures together to study problems of common interest. A secondary goal is to explore the possibility that ideas from classical Teichmuller theory might be relevant in the study of representations of surface groups into higher rank Lie groups, the so-called higher Teichmuller theory. The major topics of the workshop will be: higher statistical properties of the Weil-Petersson flow such as rates of mixing, central limit theorem, and invariant measures; the relationship of the Weil-Petersson metric to hyperbolic 3-manifolds and ending laminations; possible connections of the Weil-Petersson and Teichmuller metrics to higher Teichmuller theory.

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