### Thurston’s compactification via geodesic currents: the case of non-compact finite area surfaces

Geometry and Topology Seminar

13th September 2022, 2:00 pm – 3:00 pm

Fry Building, G.13

In 1988, Bonahon gave a construction of Thurston’s compactification of Teichmüller space using geodesic currents. In this talk, I will give a description of Bonahon’s argument and explain why it does not apply to non-compact surfaces. I will also use the notion of sequences of random geodesics to present a variant of those arguments which applies to non-compact finite area surfaces.

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