School of Mathematical Sciences
Monday, January 12, 2015
Schreiber 006, 12:15
University of Illinois at Chicago
Rigidity for groups with hidden symmetries
Abstract: In the 1970s
G.A.Margulis proved that linear representations of certain discrete
subgroups (namely lattices) in such Lie groups as SL(3,R), are
essentially determined by the ambient Lie group. This phenomenon, known
as superrigidity, has far reaching applications and has inspired a
large body of research in such areas as geometry, dynamics, descriptive
set theory, operator algebras etc.
We shall try to explain the superrigidity of lattices and related
groups by looking at some hidden symmetries (Weyl group) that they
inherit from the ambient group.
The talk is based on a joint work with Uri Bader.
Coffee will be served at 12:00 before the lecture
at Schreiber building 006