An Introduction to Subfactors in Mathematics and Physics

Kauffman diagrams for the Temperley-Lieb algebra. Planar algebras, lambda lattices – the standard invariant of a subfactor and reconstruction. Random matrices with a real number of matrices. Tensor categories, 2-categories. Endomorphisms and the type III approach. Vaughan F. R. JONES

Course Description
We will introduce the theory of subfactors and their interactions with topology and physics. We intend to describe the current state of classification of subfactors and attack the question of whether all subfactors have something to do with quantum field theory, including an appearance of Richard Thompson’s groups F and T.