Dynamical Systems Seminar

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

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.
Date: Tuesday, October 3, 2000
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Keith Burns
Contact email: burns@math.nwu.edu
Contact Phone: 847-491-3013
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