Growth of Betti numbers via foliated limits

Tuesday, October 4, 2016 - 14:00
Thackeray 427
Speaker Information
Ian Biringer
Boston College

Abstract or Additional Information

We study the ratio of the k^th Betti number of a manifold to its volume, and give a strong convergence result for higher rank locally symmetric spaces.  The key is a compactification of sets of Riemannian manifolds with constrained geometry (e.g. locally symmetric spaces), where the added limit points are transverse measures on some universal foliated space.