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Domains of discontinuity for Anosov representations

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Daniele Alessandrini (Columbia)

Abstract:
The parameter spaces of Anosov representations can usually be seen as
deformation spaces of parabolic geometric structures on some closed
manifolds, this is due to Guichard-Wienhard and Kapovich-Leeb-Porti.
A particularly interesting case is given by the Higher Teichmuller
Spaces, spaces that generalize the classical Teichmuller spaces for
higher rank Lie groups.
In this talk we will present a general structure theorem about the
topology of such closed manifolds, and we will describe this topology
explicitly in some interesting cases.
This is based on a joint work with Colin Davalo and Qiongling Li, and
a joint work with Sara Maloni, Nicolas Tholozan and Anna Wienhard.