Tessellations from long geodesics on surfaces

Geometry & Topology
Event time: 
Tuesday, October 22, 2019 - 4:15pm
DL 431
Jenya Sapir
Speaker affiliation: 
Event description: 

I will talk about joint work 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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