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Seminar

Member Seminar: Counting lattice points with respect to the Lipschitz metric September 20, 2016 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Juan Souto (Institut de Recherche Mathematique (IRMAR))
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Let $X$ and $Y$ be points in Teichmueller space and endow the latter with the Lipschitz metric $d_L$. In this talk I will explain why is there a constant $c(X,Y)$ such that the number of points in the mapping class group orbit of $Y$ within distance $R$ of $X$ is, when $R$ grows, asymptotic to $c(X,Y) e^{(6g-6)R}$. This is joint work with Kasra Rafi.

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