Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Free probability is a non-commutative probability theory that arises by examining the joint mo- ments of operators acting on the left-hand side of reduced free product spaces. Introduced by Voiculescu in the 1980s, free probability has become an important part of the theory of operator algebras with many applications to random matrix theory.
Last year, Voiculescu introduced the notion of free independence for pairs of faces (also called bi-free independence) in order to simultaneously study the left and right representations of algebras on reduced free product spaces. In this talk, we will survey how the structures of free probability generalize to the bi-free setting and how bi-free probability provides a wealth of new structures to examine.
Refreshments will be served in MC 5158B at 3:30 p.m. Everyone is welcome to attend.
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.