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Tessellations from long geodesics on surfaces

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Speaker: 
Jenya Sapir
Affiliation: 
MPIM
Date: 
Thu, 2018-11-22 16:30 - 17:30
Location: 
MPIM Seminar Room

I will talk about a recent result of Athreya, Lalley, Wroten and myself. Given a hyperbolic surface S, a typical long geodesic arc will divide the surface into many polygons. We give statistics for the geometry of a typical tessellation. Along the way, we look at how very long geodesic arcs behave in very small balls on the surface.

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