Title: Self-intersections and Poisson line processes on hyperbolic surfaces
Speaker: Jayadev Athreya (University of Washington, Seattle, USA)
Date: 17 January 2018
Time: 4 pm
Venue: LH-1, Mathematics Department
In joint work with Steve Lalley and Jenya Sapir, we study the tessellation of a compact, hyperbolic surface induced by a typical long geodesic segment. We show, that when properly scaled, the local behavior of a typical geodesic is that of a Poisson line process. This implies that the global statistics of the tessellation – for instance, the fraction of triangles – approach those of the limiting Poisson line process.