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Geodesic currents and counting problems

Presented by: 
Kasra Rafi University of Toronto
Date: 
Monday 19th June 2017 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
We show that, for every filling geodesic current, a certain scaled average of the mapping class group orbit of this current converges to multiple of the Thurston measure on the space of measured laminations. This has applications to several counting problems, in particular, we count the number of lattice points in the ball of radius R in Teichmüller space equipped with Thurston’s asymmetric metric. This is a joint work with Juan Souto.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons