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Speaker:
Frederica Fanoni
Affiliation:
MPIM
Date:
Thu, 20/04/2017 - 16:30 - 17:30
Location:
MPIM Lecture Hall
Parent event:
Oberseminar Differentialgeometrie 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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