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A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 3)


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A. Zorich - Counting simple closed geodesics and volumes of moduli spaces (Part 3)

In  the  first two lectures I will try to tell (or, rather, to  give  an  idea)  of  how  Maryam Mirzakhani has counted simple  closed  geodesics on hyperbolic surfaces. I plan to briefly  mention her count of Weil-Peterson volumes and her proof of Witten's conjecture, but only on the level of some key ideas.

In the last lecture I plan to show how ideas of Mirzakhani work in counting problems related to flat surfaces, namely, in computation of Masur-Veech volumes and in counting meanders.

 

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