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Loop groups and noncommutative geometry

Presented by: 
Robin Hillier
Date: 
Thursday 15th June 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
I describe a way of expressing loop groups and their representation theories (the Verlinde fusion ring) in terms of spectral triples and KK-theory. The ideas come from operator algebraic conformal field theory and extend to many other conformal field theoretical models.

Co-author: Sebastiano Carpi.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons