Geometry, Topology and Dynamics Seminar
Misha Belolipetsky
Durham University
Counting arithmetic surfaces and 3-manifolds
Abstract: I will talk about some results of a joint work with T. Gelander, A.
Lubotzky and A. Shalev. We give estimates on the number $AL_H(x)$ of
arithmetic lattices of covolume at most $x$ in the groups $H=PSL(2,R)$
and $PSL(2,C)$. Our result is especially strong for $H=PSL(2,R)$ for
which we prove that
$
\lim_{x\to\infty}\frac{\log AL_H(x)}{x\log x}=\frac{1}{2\pi}.
$
Monday October 6, 2008 at 3:00 PM in SEO 612