From planar algebras to logarithmic conformal field theory
by Dr Jorgen Rasmussen
Abstract: Physical systems with non-local degrees of freedom are notoriously difficult to describe mathematically. Important examples, such as polymers and percolation, can nevertheless be modelled using so-called planar algebras. Due to their non-local nature, the corresponding lattice models give rise to logarithmic conformal field theories in the continuum scaling limit. This talk aims to give an impression of planar algebras, the lattice approach to generalized models of polymers and percolation, and the rich representation theory associated with logarithmic conformal field theory.
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