Growth of torsion homology in finite coverings and hyperbolic volume

Series
Geometry Topology Seminar
Time
Monday, November 13, 2017 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Thang Le – Georgia Tech – letu@math.gatech.edu
Organizer
Thang Le
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.