Maria João Resende – Simplicity of Lyapunov spectrum for the Teichmüller flow

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Date(s) - 17 février 2012

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In this talk, we will review the criterion which provides sufficient conditions for the simplicity of Lyapunov spectrum of a linear cocycle. We are also going to see how we can apply this criterion in the particular case of the Teichmüller flow defined on the moduli space of Abelian differentials. Finally, we remark the major issues we will have to solve for applying this criterion when the Teichmüller flow is defined in the moduli space of quadratic differentials.