Geometry, Topology and Dynamics Seminar
Alex Furman
UIC
Mostow (rigidity) and ME (measure equivalence)
Abstract: The phenomenon of strong rigidity of lattices, discovered by Mostow, can be deduced from a certain stronger rigidity property formulated in the context of Measure Equivalence
(to be explained in the talk) .
This stronger rigidity property was previously known for higher rank Lie groups (being deduced from Margulis-Zimmer superrigidity).
I will describe a recent joint work with Uri Bader and Roman Sauer, in which this stronger rigidity property is proven for the case of rank one groups ${\rm SO}(n,1)$, $n\ge 3$.
The proof use certain co/homological machinery (which I will describe very briefly), a variant of Gromov-Thurston argument for Mostow Rigidity which we will discuss,
and some revised technique for proving Measure Equivalence rigidity results.
This talk is likely to spill over to Wednesday.
Monday February 15, 2010 at 3:00 PM in SEO 612