An Introduction to Subfactors in Mathematics and Physics

Classification of small index subfactors. Izumi’s Cuntz algebra approach. Skein theory presentations of subfactors, the exchange relation, the Yang-Baxter equation and the jellyfish algorithm. 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.