Workshop OASW05 — Follow up Workshop to OAS Programme – Operator Algebras: Subfactors and Applications

Vaughan Jones initiated the study of subfactors in the early 1980's, in the theory of von Neumann algebras of operators on Hilbert spaces. Subfactor theory rapidly led to connections with link and 3-manifold invariants, quantum groups and exactly solvable models in statistical mechanics. Subsequently deep applications and connections have been uncovered with algebraic, topological and conformal quantum field theory. This workshop will review progress in the field during and after the programme as well as proposing future research directions in the multitude of areas related to subfactors, quantum symmetries and their applications.