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The space of measured laminations

Algebraic Geometry Seminar

The space of measured laminations
Series: Algebraic Geometry Seminar
Location: ENR2 S395
Presenter: Ivan Telpukhovskiy, University of Toronto

A measured lamination on a hyperbolic surface is a closed subset consisting of complete disjoint geodesics together with a transverse measure on it. The space of measured laminations, developed by Thurston, is an important tool in geometric topology that is applied for counting problems on Teichmuller space, such as counting frequencies of simple closed curves (following the work of Mirzakhani). I will define the space of measured laminations using geodesic currents, talk about train track coordinates and state some recent results.