Hitoshi Murakami

(Tokyo Institute of Technology)

Introduction to the Volume Conjecture, Part III

Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory

Columbia University, June 3 to June 19, 2009

 
 

Abstract: In these lectures, I will give an introduction to the Volume Conjecture and its generalizations.

In the third talk, I will show how we can generalize the conjecture by deforming the parameter of the colored Jones polynomial. Such a deformation would correspond to a deformation of the hyperbolic structure of a knot complement.

 

Organizers: A. Champanerkar, O. Dasbach, E. Kalfagianni,

I. Kofman, N. Stoltzfus, W. Neumann