Generalising Mirzakhani’s curve counting result

12 February 2020

On any hyperbolic surface, the number of curves of length at most L is finite. However, it is not immediately clear how quickly this number grows with L. We will discuss Mirzakhani’s breakthrough result regarding the asymptotic behaviour of this number, along with recent efforts to generalise her result using currents.

  • Junior Topology and Group Theory Seminar