Geometry, Topology and Dynamics Seminar
Iddo Samet
UIC
Growth of Betti numbers of locally symmetric spaces
Abstract: I will describe new results concerning the asymptotic behavior of the
Betti numbers of higher rank locally symmetric spaces as their volumes
tend to infinity. Our main theorem is a uniform version of the Lück
Approximation Theorem, which is much stronger than the linear upper
bounds on Betti numbers given by Gromov. Among other things, the proof
relies on the study of locally convergent manifolds and
invariant random subgroups, notions which I will discuss and relate.
This is a joint work with M. Abert, N. Bergeron, I. Biringer, T. Gelander, N. Nikolov, and J. Raimbault.
Monday September 12, 2011 at 3:00 PM in SEO 636