Growth of torsion homology in finite coverings and hyperbolic volume

Geometry Topology Seminar
Monday, November 13, 2017 - 13:55
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
We discuss the growth of homonoly in finite coverings, and show that the growth of  the torsion part of the first homology of finite coverings of 3-manifolds is bounded from above by the hyperbolic volume of the manifold. The proof is based on the theory of L^2 torsion.