### Growth of torsion homology in finite coverings and hyperbolic volume

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

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.