Topology Atlas | Conferences

Knots in Washington XXV dedicated to Herbert Seifert on his 100 birthday. Conference on Knot Theory and its Ramifications
December 7-9, 2007
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Dan Silver (U. South Al.), Hao Wu (GWU)

Conference Homepage


Chromatic algebra and applications
by
Slava Krushkal
University of Virginia
Coauthors: Paul Fendley

In this talk I will introduce the notion of the chromatic algebra, whose Markov trace is the chromatic polynomial of an associated graph, and I will describe its applications in combinatorics and quantum topology. In particular, we give a new proof of Tutte's chromatic polynomial relations at the golden ratio, and we provide generalizations, conjectured by Tutte, for all Beraha numbers.

Date received: November 14, 2007

Copyright © 2007 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 # cavo-08.