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The non-commutative geometry of defects

John Barrett
Institution: 
The University of Nottingham
Schedule: 
Wednesday, December 2, 2015 - 11:00
Location: 
A-136
Abstract: 

A diagrammatic calculus for finite real spectral triples isintroduced. This calculus relates the axioms of non-commutative geometrywith geometric properties of the diagrams. The diagram calculus determinesa two-dimensional topological quantum field theory with defects.Conversely, defects in a TQFT determine a generalised notion ofnon-commutative geometry.

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