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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


Categorifications in algebra and topology
by
Mikhail Khovanov
Columbia University

Categorifications lift n-dimensional topological quantum field theories to (n+1)-dimensional ones (in most cases n=2 or 3). Algebraic categorifications turn semisimple representations into Grothendieck groups of nonsemisimple abelian or triangulated categories. We'll discuss examples and interrelations between these two types of categorifications.

Date received: December 1, 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-13.