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Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory
June 3-19, 2009
Columbia University
New York, USA

Organizers
Abhijit Champanerkar (CSI, CUNY), Oliver Dasbach (LSU), Effie Kalfagianni (MSU), Ilya Kofman (CSI, CUNY), Walter Neumann (Barnard College, Columbia U.), Neal Stoltzfus (LSU)

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"Hyperbolic volume, Mahler measure and homology growth".
by
Thang Le
Georgia Institute of technology

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.

Date received: June 1, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayy-27.