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Basmajian-type inequalities for maximal representations

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Frederica Fanoni
Thu, 2017-04-20 16:30 - 17:30
MPIM Lecture Hall

Basmajian's celebrated identity gives a way to compute the length of the
boundary of a hyperbolic surface in terms of the lengths of the so-called
orthogeodesics (geodesics orthogonal to the boundary at both endpoints).
This identity can be generalized to the context of maximal representations.
This is a class of representations of the fundamental group of a surface
that can be seen as a generalization of Teichmüller space. I will describe
the classical identity, introduce maximal representations and discuss
Basmajian's identity in this setup. Joint work with Beatrice Pozzetti.

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