Topology Atlas | Conferences

KNOTS in WASHINGTON XII Conference on Knot Theory and its Ramifications
May 10-12, 2001
George Washington University
Washington, DC, USA

Organizers
Dubravko Ivansic, Ilya Kofman, Jozef H. Przytycki, Yongwu Rong, Akira Yasuhara

Conference Homepage


Interactions between quantum topology and number theory
by
Adam S. Sikora
CRM Univ. Montreal

We will analyze some surprising connections between quantum invariants of knots and 3-manifolds and the number theory. In particular we will show how to use Kontsevich integral to study properties of zeta functions and we will relate the hyperbolic volume conjecture to the theory of modular forms. Also, if time permits, we will briefly describe a connection between the Jones polynomial and the Fermat's Last theorem.

Date received: May 9, 2001

Copyright © 2001 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cahj-15.