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Speaker:

Frederica Fanoni
Affiliation:

MPIM
Date:

Thu, 2017-04-20 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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