Seminar on Free Probability
and Random Matrices

Fall 2017

Organizer: J. Mingo


Thursday, October 19, 4:00 - 5:30, Jeff 319
Josué Daniel Vázquez Becerra (Queen's University)
Liberation and the bounded cumulants property, part II
In this talk, we will show that conjugation by certain random unitary liberating matrices delivers the bounded cumulants property.

Tuesday, October 10, 4:00 - 5:30, Jeff 319
Josué Daniel Vázquez Becerra (Queen's University)
Liberation and the bounded cumulants property
In this talk, we will show that conjugation by certain random unitary liberating matrices delivers the bounded cumulants property.


Tuesday, October 3, 1:30 - 2:30, Jeff 319
Jamie Mingo (Queen's University)
The Role of the Transpose in Free Probability:
the partial transpose of R-cyclic operators, Part III
I will continue from last week.

Monday, September 25, 1:30 - 2:30, Jeff 319
Jamie Mingo (Queen's University)
The Role of the Transpose in Free Probability:
the partial transpose of R-cyclic operators, Part II
I will continue from last week.

Tuesday, September 19, 4:00 - 5:30, Jeff 319
Jamie Mingo (Queen's University)
The Role of the Transpose in Free Probability:
the partial transpose of R-cyclic operators
Like tensor independence, free independence gives us rules for doing calculations. With random matrix models, we usually need tensor independence of the entries and some kind of group invariance of the joint distribution of the entries to get the (asymptotic) freeness necessary to apply the tools of free probability.

A few years ago Mihai Popa and I found that the transpose also produces asymptotic freeness, i.e. a matrix could be asymptotically free from its own transpose. Since that we have expanded this work to the case of the partial transposes that arise in quantum information theory.

In this talk I will explain what happens when one transposes certain R-cyclic operators.

Previous Schedules

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Getting to Jeffery Hall from the Hotel Belvedere