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Simple closed geodesics on surfaces

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Amir Mohammadi
The University of California, San Diego
Wed, 2018-07-04 11:30 - 12:20
MPIM Lecture Hall

We will report on a joint work with Eskin and Mirzakhani which provides a quantitative estimate for the number of simple closed geodesics on a hyperbolic surface. The proof is based on ideas developed by Margulis and Mirzakhani on their PhD theses, and the exponential mixing rate of the Teichmuller geodesic flow by Avila, Gouezel, and Yoccoz.  

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