Arithmeticity, Totally Geodesic Submanifolds and Superrigidity

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, December 7, 2020 - 4:00pm
Location: 
https://yale.zoom.us/j/91914627469?
Speaker: 
David Fisher
Speaker affiliation: 
Indiana University
Event description: 

I will discuss a recent proof with Bader, Miller and Stover that any non-arithmetic, finite volume
real or complex hyperbolic manifold has only finitely many totally geodesic submanifolds.  I will place
some emphasis on the superrigidity theorem at the heart of our proofs and on the proof of this result,
particularly in the more recent complex hyperbolic case.