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Mathematical Colloquium: Exotic quantum symmetries

David Evans
Institution: 
Cardiff
Location: 
A-128
Schedule: 
Wednesday, February 7, 2018 - 16:00
Abstract: 

Groups act as symmetries of physical systems and on their mathematical models - such as actions on algebras of operators on Hilbert spaces.
Symmetries beyond those arising from groups or their deformations as quantum groups, loop groups are feasible but hard to locate and realise.
The accepted position was that the Haagerup system was exotic and surely could not be constructed from group like symmetries.
We discuss work with Terry Gannon that this should be considered as misconception.
We start with some elementary background from von Neumann algebras and show how conformal quantum field theory can shed light on this issue.

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