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Oxford Quantum Talks Archive

An introduction to n-categories

Tom Leinster, University of Glasgow
Categories, Logic and Foundations of Physics IV, January 2009, Imperial College London

I will give an beginners' introduction to n-categories. First I'll explain roughly what an n-category is, and talk about some of the dreams that first led people to want to develop a theory of n-categories. Then I'll go into more detail, leading up to a description of the state of the art and of some of the difficulties involved in trying to make those dreams come true. This is a completely introductory talk, for those who know nothing about n-categories. Experts will be bored senseless.

[video] [streaming video]