2,870,522 curves: Experimental evidence for Mirzakhani's Theorem

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• Mark Bell
• Friday 12 July 2019, 13:45-14:45
• ***nonstandard venue*** MR12.

If you have a question about this talk, please contact Richard Webb.

In her seminal 2008 paper, Maryam Mirzakhani used the Weil—Petersson volume of Moduli space to show that the probability that a random simple closed curve on a surface is separating is a rational number. We will talk through the process of obtaining experimental evidence that this probability is 1/49 for the surface of genus two. This work was supported by XSEDE (NSF grant ACI -1548562).

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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