Mirzakhani’s curve counting

Geometry & Topology
Event time: 
Tuesday, April 16, 2019 - 4:15pm
DL 431
Viveka Erlandsson
Speaker affiliation: 
University of Bristol
Event description: 

 Mirzakhani proved two theorems about the asymptotic growth of the number of curves in a mapping class group orbit on a surface: one for simple curves and another for general curves. In this talk I will explain how to derive her second theorem from the one about simple curves. Time permitting, I will explain why similar methods can be used to also give a proof for the theorem about simple curves, hence giving a new (and very different) proof of both theorems.  

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