Departmental Colloquium
Alex Furman
UIC
Dynamics on some homogeneous spaces
Abstract: In this talk I will discuss some classical results and recent developments
in the study of such dynamical systems as automorphisms of the torus
$T^d=R^d/Z^d$ or translations on $SL_d(R)/SL_d(Z)$.
These very concrete systems have interesting dynamics, that have
applications in Number Theory (Margulis's proof of Mahler's conjecture,
the progress by Einsiedler-Katok-Lindenstrauss towards Littlewood's
conjecture, etc.)
In the talk we shall describe some of the known dynamical phenomena that
occur in these systems.
Friday October 5, 2012 at 3:00 PM in SEO 636