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SUMMARY:Geodesic currents and counting problems - Kasra Rafi (University o
 f Toronto)
DTSTART:20170619T150000Z
DTEND:20170619T160000Z
UID:TALK72988@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We show that\, for every filling geodesic&nbsp\;current\, a ce
 rtain scaled average of the mapping class group orbit of this&nbsp\;curren
 t&nbsp\;converges to multiple of the Thurston measure on the space of meas
 ured laminations. This has applications to several&nbsp\;counting&nbsp\;pr
 oblems\, in particular\, we&nbsp\;count&nbsp\;the number&nbsp\;of lattice&
 nbsp\;points in the ball of radius R in Teichm&uuml\;ller&nbsp\;space equi
 pped with&nbsp\;Thurston&rsquo\;s asymmetric metric. This is a joint work 
 with Juan Souto.
LOCATION:Seminar Room 1\, Newton Institute
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