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
One of the most stunning achievements of free probability theory is that freeness can be used to model certain ensembles of random matrices. These theorems, which go back to Voiculescu in 1991, assume that the ensembles are independent and satisfy some invariance condition and conclude that the ensembles are asymptotically free, in that as the size of the matrix increases the matrices become free in the sense of Voiculescu.
Recently Mihai Popa and I showed that a matrix can be free from its transpose or even its partial transpose, thereby eliminating the independence assumption. I will give a brief explanation of asymptotic freeness and illustrate this with some simple examples.
Note new room.
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.