# Mathematical Sciences Research Institute

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# Seminar

Topology Seminar (Main Talk): Counting curves in hyperbolic surfaces November 02, 2016 (04:10 PM PDT - 05:00 PM PDT)
Parent Program: -- 3 Evans Hall
Speaker(s) Juan Souto (Institut de Recherche Mathematique (IRMAR))
Description No Description
Video
It is classical that the number of closed geodesics of length $L$ in a say closed hyperbolic surface is asymptotic to $\frac{e^L}L$. Things change dramatically if one counts curves of a given type, say simple closed curves. In fact, Mirzakhani has proved the number is now asymptotic to a polynomial. In this talk I will describe some variations of Mirzakhani's theorem.