Extended positive representations

  • Tianqi Wang (École Normale Supérieure (Paris)/National University of Singapore)
E2 10 (Leon-Lichtenstein)


We introduce the notion of extended positive representation of a Fuchsian group into a semisimple Lie group with a $\Theta$-positive (in the sense of Guichard--Wienhard) structure. Examples of such representation include Fock-Goncharov's positive framed representations, maximal representations and classical $\Theta$-positive representations. We show that extended positive representations are divergent and extended geometrically finite (in the sense of Weisman).

Katharina Matschke

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