EVENT DETAILS AND ABSTRACT

Title: The degree of maps in higher rank
Speaker: Chris Connell
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

We extend Gromov's Volume Comparison Theorem to locally symmetric manifolds of nonpositive curvature. This gives a bound in terms of curvatures and volumes of the degree of any map from a finite volume manifold into a locally symmetric space of higher rank. As corollaries we show that the Minvol invariant is positive for such spaces and we give a proof that such lattices are co-Hopfian. The proof relies on the extension of the barycentre method of Besson, Courtois and Gallot to higher rank.