# Von Neumann Algebras

Hausdorff Trimester Program

May 2 - August 26, 2016

Organizers: Dietmar Bisch, Vaughan Jones, Sorin Popa, Dima Shlyakhtenko

The theory of von Neumann algebras has seen many spectacular developments in the last ten years. Three main directions have emerged: Jones’ theory of subfactors, Voiculescu’s free probability theory and Popa’s deformation-rigidity theory. Each of these directions has produced amazing results, surprising applications and deep interactions with other areas of mathematics and theoretical physics. This program aimed at bringing together researchers in these sub-areas of the theory of von Neumann algebras, exploring connections among them and investigating new directions.

**Special activities:**