Variations along the Fuchsian locus

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Date 15.12.2015
Hour 15:1517:00
Speaker François Labourie, (Nice)
Location
Category Conferences - Seminars
Classical Teichmüller theory provides links between complex analytic and dynamical quantities defined on Riemann surfaces with conformal hyperbolic metrics. More precisely,  properties of the geodesic flow of a hyperbolic structure are related to  holomorphic objects  on the underlying Riemann surface.
The goal of this paper is to extend this relationship in the context of higher rank Teichmüller theory.

We will begin by an easy introduction on Teichmüller theory highlighting the objects that we are interested in. Then we will give an introduction to  higher rank Teichmüller theory and explain our result. We will try to keep this talk as introductory as possible, aiming at graduate students. This is a work in collaboration with Richard Wentworth.

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  • Informed public
  • Free

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