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Topics in Teichmuller Theory and Kleinian Groups |
| November 12, 2007 to November 16, 2007 |
| Organized By: Jeff Brock, Ken Bromberg, Richard Canary, Howard Masur, Alan Reid, Maryam Mirzakhani, and John Smillie |
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| Parent Programs: |
| Teichmuller Theory and Kleinian Groups |
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| Return to Workshop Description |
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Counting periodic Teichmüller geodesics in odd strata
Tuesday November 13, 2007
01:30PM - 02:30PM
Speakers:
Ursula Hamenstaedt
Abstract:
Call a stratum in the moduli space of quadratic differentials odd if the orders of the singularities defining the stratum are all odd. Let Q be a component of an odd stratum of dimension h. We show that the number of periodic Teichmüller geodesics in Q of length at most T is
asymptotic to $e^{hT}/hT$ as $T\to\infty$. This slightly extends the result of Eskin and Mirzakhani, with a different proof.
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