Oberseminar Differentialgeometrie: Viveka Erlandsson, Bristol, Vortrag: Counting curves on surfaces

am Montag, 16.04.2018 im Raum SR4
Mathematik und Informatik

Abstract: Due to Mirzakhani we know the asymptotic growth of the number of curves, with bounded self-intersection, on a hyperbolic surface of bounded length L, as L grows. If S is a surface of genus g equipped with a hyperbolic structure, she showed that the number of such curves on S (in each mapping class group orbit) is asymptotic to a constant times L^{6g-6}. In this talk I will explain, through the use of geodesic currents, why the same asymptotics hold for other metrics on the underlying topological surface, in particular for any Riemannian metric.

Angelegt am Freitag, 23.02.2018 11:12 von shupp_01
Geändert am Montag, 09.04.2018 11:46 von shupp_01
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