JournalsowrVol. 19, No. 4pp. 2687–2740

Arbeitsgemeinschaft: Higher Rank Teichmüller Theory

  • Fanny Kassel

    I.H.E.S., Bures-Sur-Yvette, France

  • Maria Beatrice Pozzetti

    Universität Heidelberg, Germany

  • Andrés Sambarino

    CNRS Sorbonne Université; Université Pierre et Marie Curie (Paris VI), France

  • Anna Wienhard

    Max-Planck-Institut für Mathematik, Leipzig; Ruprecht-Karls-Universität Heidelberg, Germany
Arbeitsgemeinschaft: Higher Rank Teichmüller Theory cover
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Abstract

Higher rank Teichmüuller theory is the study of certain connected components of character varieties of surface groups in higher rank semisimple Lie groups, with the property that all elements in these components correspond to faithful representations with discrete image. Like classical Teichmüller theory, this relatively recent theory is very rich and builds on a combination of methods from various areas of mathematics. Its many facets were explored in detail during the Arbeitsgemeinschaft.

Cite this article

Fanny Kassel, Maria Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard, Arbeitsgemeinschaft: Higher Rank Teichmüller Theory. Oberwolfach Rep. 19 (2022), no. 4, pp. 2687–2740

DOI 10.4171/OWR/2022/47