Workshop on Applications to Random Matrices and Free Probability of Free Noncommutative Functions
Description
The decisive steps in connecting free probability, free noncommutative functions theory, and random matrix theory are due to Dan Voiculescu. In a breakthrough from the early nineties, he proved that, roughly speaking, large independent random matrices are asymptotically free as their size tends to infinity. This result opened the way for a series of revolutionary applications of random matrix theory to operator algebras, and, conversely, allowed a vast array of very powerful tools from noncommutative analysis to be deployed in the study of random matrices. Free noncommutative functions turned out to be the natural analytic transforms for the study of noncommutative distributions, as it was found out by Voiculescu in a series of four papers dating from the beginning of the 2000s. Since then, these tools have become, under various guises, a mainstay in the study of both local and global properties of random matrices, as well as in their applications to various problems in operator algebras. This workshop will focus on the most recent developments in these fields, and foster exchanges between specialists from random matrix theory, free noncommutative functions, and operator algebras.
Schedule
09:30 to 10:15 |
Yoann Dabrowski, Institut Camille Jordan, Université Claude Bernard Lyon 1 |
10:15 to 10:45 |
Coffee break
|
10:45 to 11:30 |
Dimitri Shlyakhtenko, University of California, Los Angeles |
11:30 to 11:45 |
Break
|
11:45 to 12:30 |
Wlodzimierz Bryc Bryc, University of Cincinnati |
12:30 to 14:15 |
Lunch
|
14:15 to 15:00 |
Tobias Mai, Saarland University |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:30 |
Roland Speicher, Saarland University |
09:30 to 10:15 |
Non universality of fluctuations of outlier eigenvectors for additive deformation of Wigner matrices
Catherine Donati-Martin, Université de Versailles St Quentin en Yvelines |
10:15 to 10:45 |
Coffee break
|
10:45 to 11:30 |
Yuriy Nemish, IST Austria |
11:30 to 11:45 |
Break
|
11:45 to 12:30 |
Zhigang Bao, Hong Kong University of Science and Technology |
12:30 to 14:15 |
Lunch
|
14:15 to 15:00 |
Mihai Nica, University of Toronto |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:15 |
Kamil Szpojankowski, Warsaw University of Technology |
16:30 |
Reception - at Fields
|
09:30 to 10:15 |
Michael Anshelevich, Texas A&M University |
10:15 to 10:45 |
Coffee break
|
10:45 to 11:30 |
Ian Charlesworth, University of California Berkeley |
11:30 to 11:45 |
Break
|
11:45 to 12:45 |
Roland Speicher, Saarland University |
09:30 to 10:15 |
Mihai Popa, University of Texas at San Antonio |
10:15 to 10:45 |
Coffee break
|
10:45 to 11:30 |
David Renfrew, Binghamton University/ IST Austria |
11:30 to 11:45 |
Break
|
11:45 to 12:30 |
Emily Redelmeier |
12:30 to 14:15 |
Lunch
|
14:15 to 15:00 |
Mario Diaz, Centro de Investigación en Matemáticas |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:15 |
Pei-Lun Tseng, Math |
09:30 to 10:15 |
Brent Nelson, Vanderbilt University |
10:15 to 10:45 |
Coffee break
|
10:45 to 11:30 |
Paul Skoufranis, York University |
11:30 to 11:45 |
Break
|
11:45 to 12:30 |
Ken Dykema, Texas A&M University |
12:30 to 14:15 |
Lunch
|
14:15 to 15:00 |
William Slofstra, University of Waterloo |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:15 |
Josue Vazquez-Becerra, Queen's University |