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Domains of discontinuity for Anosov representations

  • León Carvajales (Universidad de la República Uruguay)
E2 10 (Leon-Lichtenstein)

Abstract

We construct open domains of discontinuity for Anosov representations acting on some homogeneous spaces, including (pseudo-Riemannian) symmetric spaces. This generalizes work of Kapovich-Leeb-Porti on flag spaces. Our results complement those of Gueritaud-Guichard-Kassel-Wienhard, who constructed proper actions of Anosov representations. For Zariski dense Anosov representations with respect to a minimal parabolic subgroup acting on some symmetric spaces, we show that our construction describes the largest possible open domains of discontinuity. This is joint work with Florian Stecker.

Antje Vandenberg

MPI for Mathematics in the Sciences Contact via Mail

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