NCG Seminar

[Emanuele Tuillier Illingworth]

Noncommutative Geometry Seminar

Prof. David Evans  (Cardiff)

The reconstruction programme in conformal field theory and K-theory

Abstract:
A symmetric fusion category is realised as the representation
theory of a group by classical work of Tannaka-Krein.
This raises the question of whether and how to realise braided
or modular tensor categories concretely as the representation
theory of a conformal net of factors or a vertex operator algebra.
I discuss some work with Terry Gannon on this reconstruction
which involves ideas from K-theory and  non commutative geometry
to understand modular invariant partition functions as KK-elements.

SISSA, room 136
Monday 5 February 2018 at 4 pm