Higher Teichmüller spaces: from SL(2,) to other Lie groups

  • Marc Burger

    ETH Zürich, Switzerland
  • Alessandra Iozzi

    ETH Zentrum, Zürich, Switzerland
  • Anna Wienhard

    Universität Heidelberg, Germany
Higher Teichmüller spaces: from SL(2,$\mathbb{R}$) to other Lie groups cover

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We review the Fricke–Klein space of a surface with puncture from the point of view of the bounded Euler class and Goldman’s theorem and we extend this point of view to the study of representations of fundamental groups of punctures surfaces into Lie groups of Hermitian type.