Free entropy

Non-equilibrium Dynamics and Random Matrices
Topic:Free entropy
Speaker:Philippe Biane
Affiliation:Université Paris-Est Marne-la-Vallée
Date:Tuesday, April 22
Time/Room:2:00pm - 3:00pm/S-101
Video Link:http://video.ias.edu/nedrm/2014/0422-PhilippeBiane

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.