Basmajian-type inequalities for maximal representations.

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Event details

Date 23.11.2016
Hour 16:1517:15
Speaker Federica Fanoni
Location
MA10
Category Conferences - Seminars
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). In collaboration with Beatrice Pozzetti, we generalized this result to special representations of the fundamental group of a surface into the symplectic group, called maximal representations.
In this talk I will describe the classical identity, show how maximal representations can be seen as a generalization of Teichmüller space and discuss Basmajian's identity in this context.

Practical information

  • Informed public
  • Free

Organizer

  • Louis Merlin

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