|Non-equilibrium Dynamics and Random Matrices|
|Affiliation:||Université Paris-Est Marne-la-Vallée|
|Date:||Tuesday, April 22|
|Time/Room:||2:00pm - 3:00pm/S-101|
Free entropy is a quantity introduced 20 years ago by D. Voiculescu in order to investigate noncommutative probability spaces (e.g. von Neumann algebras). It is based on approximation by finite size matrices. I will describe the definition and main properties of this quantity as well as applications to von Neumann algebras. I will also explain a new approach based on work with Y. Dabrowski, using random matrices, which leads to the solution of some problems concerning this quantity.