Séminaire de théorie des groupes à l’ENS

14.00 - 14.45 : Xenia Flamm (MPI Leipzig - IHES)  Title: Positive representations and non-Archimedean ordered fields Summary: Positive representations were introduced by Olivier Guichard and Anna Wienhard in their foundational work on higher Teichmüller theory. In this talk, we propose a notion of positive representation from the fundamental group of a (possibly non-closed) hyperbolic surface into the k-points of a reductive algebraic group, where k is an ordered field. Our approach provides a common framework that simultaneously extends the classical theory for closed surfaces and real Lie groups. We focus on the non-Archimedean case, […]