Thang Le
(Georgia Tech)
Hyperbolic volume, Mahler measure and homology growth
Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory
Columbia University, June 3 to June 19, 2009
Abstract: Using L2 torsions we prove old and new results about the growth rate of the homology of finite coverings of knot (and link) complements. In particular, we formulate a new volume conjecture relating the growth rate of homology and the hyperbolic volume of knot complement. The conjecture is confirmed for knots with 0 volume.
Organizers: A. Champanerkar, O. Dasbach, E. Kalfagianni,
I. Kofman, N. Stoltzfus, W. Neumann