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Oxford Quantum Talks Archive

What is and what should be 'higher dimensional group theory'?

Ronnie Brown, University ofangor
Categories, Logic and Foundations of Physics VII, September 2010, University of Birmingham

The presentation will show, including some knot demos, some of the problems and intuitions which have led to this question, and how certain cubical algebraic structures with partial operations whose domains are given by geometric conditions have been found quite natural for expressing modes of higher dimensional subdivision and composition which are related to long term concerns in algebraic topology.

[video] [streaming video] [slides]