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Oxford Quantum Talks Archive

Two 2-traces

Simon Willerton, University of Sheffield
Categories, Logic and Foundations of Physics VII, September 2010, University of Birmingham

Over recent years, in several areas of mathematics the notion of 'categorified trace' or '2-trace' has arisen. For instance, in higher representation theory where groups act on linear categories there is the notion of a '2-character'; in Khovanov knot homology the Hochschild homology is viewed as a categorical trace. It transpires that there are actually two orthogonal, and sometimes dual, notions of 2-trace in common usage and I will explain how they arise and give various examples from various areas of mathematics.

[video] [streaming video] [slides]