Hitoshi Murakami

(Tokyo Institute of Technology)

Introduction to the Volume Conjecture, Part I

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 first talk, I will give the definition of the colored Jones polynomial and state the conjecture. I also give a proof of the conjecture for the figure-eight knot.

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

I. Kofman, N. Stoltzfus, W. Neumann