Alex Furman (UIC) - About the phenomena of Super-rigidity and Arithmeticity of locally symmetric manifolds

Abstract: The goal of this talk is to discuss the phenomenon of
super-rigidity of representations of lattices in certain Lie groups and
how this remarkable phenomenon shows the arithmetic nature of such
lattices. We will also discuss the purely group-theoretic notion of
commensurability and its relevance to the question of arithmeticity.
These wonderful ideas and results are due to Margulis in the late 70s
and mid 80s, but for super-rigidity we will follow a more recent
approach that we developed with Uri Bader, that is used in the work of
Bader-Fisher-Miller-Stover.

Date: 

Thu, 17/06/2021 - 16:00 to 17:15