Growth of torsion homology in finite coverings and hyperbolic volume

Series: 
Geometry Topology Seminar
Monday, November 13, 2017 - 13:55
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
,  
Organizer: 
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.