Simple closed geodesics on surfaces

Speaker:

Amir Mohammadi

Affiliation:

The University of California, San Diego

Date:

Wed, 04/07/2018 - 11:30 - 12:20

Location:

MPIM Lecture Hall [2]

Parent event:

Conference "Dynamics: Topology and Numbers", July 2 - 6, 2018 [3]

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.