 
Summary: COLLOQUIUM
University of Regina
Department of Mathematics and Statistics
Speaker: Serban Belinschi (University of Saskatchewan)
Title: The AB... of free probability
Time & Place: Friday, October 24, 3:30  4:30 pm, CL 232
Abstract
Voiculescu's initial motivation in creating the field of free probability
came from problems in operator algebras (more precisely, the isomorphism
problem for the II1 factors of the free groups). But soon afterwards, Spe
icher found an entirely combinatorial description of free independence, based
on the lattice of noncrossing partitions of type A. Inspired by the work of
Reiner, P. Biane, F. Goodman and A. Nica defined in a paper from 2003 a
notion of noncommutative probability space of type B and of type B free
independence, essentially by 'replacing' the type A noncrossing partitions
with their type B analogue in the combinatorial description of free indepen
dence.
In this talk we will give a short survey of these two notions of free in
dependence and describe some interactions between them. We will present
several recent results, obtained in joint work with E. MaurelSegala and
