Mirzakhani's work on Earthquakes (Part 3)

Appears in collection : Summer School 2018 - Teichmüller dynamics, mapping class groups and applications.

We will give the proof of Mirzakhani's theorem that the earthquake flow and Teichmuller unipotent flow are measurably isomorphic. We will assume some familiarity with quadratic differentials, but no familiarity with earthquakes, and the first lecture will be devoted to preliminaries. The second lecture will cover the proof, and the final lecture additional connections such as the link between Weil-Petersson and Masur-Veech volumes. If time allows, we will mention Mirzakhani's recent result on counting mapping class group orbits, which relies on her work on earthquake flow.