Geometry, Topology and Dynamics Seminar
Vladimir Finkelshtein
UIC
Diophantine approximation problems for groups of torus automorphisms
Abstract: We prove sharp estimates in a "shrinking target" problem for the
action of an arbitrary subgroup $\Gamma$ of $SL(2,Z)$ on the torus
$T^2$. This can also be viewed as a non-commutative Diophantine
problem. The methods require to construct certain "spectrally optimal"
random walks on groups acting properly cocompactly on Gromov
hyperbolic spaces.
Monday April 4, 2016 at 3:00 PM in SEO 636