
THEMATIC PROGRAMS 

April 15, 2021  
Thematic Program on Operator Algebras

Organizing Committee  
Jamie Mingo (Queen’s) Dietmar Bisch (Vanderbilt) 
Roland Speicher (Queen’s) Alexander Soshnikov (Davis) 
AUDIO AND SLIDES  Visitor Information  
Confirmed participants  Hotels and Housing  
Workshop Schedule  Speakers' Abstracts  Back to Thematic Year Home page 
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The workshop aims at bringing together people working in or somehow related to the fields of free probability, random matrices, or planar algebras  with some emphasis on the use of diagramatic methods and with the hope of revealing deeper connections between these fields and stimulating interactions and collaborations between the various groups.
INVITED SPEAKERS:
Greg Anderson (University of Minnesota) Teodor Banica (Paul Sabatier University, Toulouse) Dror BarNatan (University of Toronto) Dietmar Bisch (Vanderbilt University) Benoit Collins (Université Claude Bernard Lyon 1 and Ottawa) Valentin Feray (Université de Marne La Vallée Paris Est) Pinhas Grossman (Vanderbilt University) Alice Guionnet (Ecole Normale Supérieure de Lyon) Ved Prakash Gupta (Institute of Mathematical Sciences) Uffe Haagerup (University of Southern Denmark) Greg Kuperberg (University of California at Davis) Vaughan Jones (University of California, Berkeley) Zeph Landau (The City College of New York) 
Jamie Mingo (Queen’s) Alexandru Nica (University of Waterloo) Sandrine Péché (University of Grenoble) Dima Shlyakhtenko (University of California, Los Angeles) Piotr Sniady (University of Wroclaw) Alexander Soshnikov (University of California, Davis) Roland Speicher (Queen's University) Toufic Suidan (University of California Santa Cruz) Balint Virag (University of Toronto) Dan Voiculescu (University of California, Berkeley) Kevin Walker (Project Q, Microsoft, UCSB) Feng Xu (University of California, Riverside) Ofer Zeitouni (University of Minnesota) 
SCHEDULE: (Speaker Abstracts)
Monday, September 17  
9:00  9:30

Morning Coffee/Welcoming remarks 
9:30  10:20

Roland Speicher/Jamie Mingo (Queen's
University) Free probability and noncrossing partitions 
10:30  11:00

Coffee Break 
11:00  11:50

Alexander Soshnikov
(University of California, Davis) Spectral properties of Large Random Matrices with Independent NonGaussian Entries 
12:00  2:00

Lunch break 
2:00  2:50

Dietmar Bisch (Vanderbilt University) Subfactors and Planar Algebras 
3:00  3:50

Kevin Walker (Project Q, Microsoft,
UCSB) TQFT completions of the annular TemperleyLieb category 
4:00  4:30

Coffee Break 
4:30  5:30

Greg Kuperberg (University of California
at Davis) Quantum central limit theorems 
5:30  6:30

Reception 
Tuesday, September 18  
9:00  9:30

Morning Coffee 
9:30  10:20

Dan Voiculescu (University of California,
Berkeley) Aspects of free analysis 
10:30  11:00

Coffee Break 
11:00  11:50

Toufic Suidan (University
of California Santa Cruz) Fluctuations in the symmetric PNG process with a source 
12:00  2:00

Lunch break 
2:00  2:50

Greg Anderson (University of Minnesota) Ubiquity of algebraic Stieltjes transforms 
3:00  3:50

Feng Xu (University of California,
Riverside) On representing some lattices as lattices of intermediate subfactors of finite index 
4:00  4:30

Coffee Break 
4:30  5:30

Benoit Collins (Université
Claude Bernard Lyon 1 and Ottawa) Weingarten calculus on enveloping algebras and noncommutative random matrices 
Wednesday, September 19  
9:00  9:30

Morning Coffee 
9:30  10:20

Ofer Zeitouni (University of Minnesota) Consequences of ergodicity for some translation invariant determinantal processes and their approximations 
10:30  11:00

Coffee Break 
11:00  11:50

Alice Guionnet (Ecole
Normale Supérieure de Lyon) Matrix models and Map enumerations 
12:00  2:00

Lunch break 
2:00  2:50

Vaughan Jones (University of California,
Berkeley) The graded algebras of a planar algebra 
3:00  3:50

Dima Shlyakhtenko (University of
California, Los Angeles) Free stochastic calculus and its applications 
4:00  4:30

Coffee Break 
4:30  4:55

Ved Prakash Gupta (Institute of
Mathematical Sciences) Planar algebra of the subgroupsubfactor 
5:00  5:25

Valentin Feray (Université
de Marne La Vallée Paris Est) Combinatorial description of Kerov's character polynomials 
6:30

Banquet 
On Wednesday, September 19, there will
be a banquet at the Bright Pearl Restaurant (Chinese food).
Reception/Dinner: 6:30 p.m. Tickets are on sale on Monday only @$35 each. Forms of payment: Cash, Visa or Master card only 

Thursday, September 20  
9:00  9:30

Morning Coffee 
9:30  10:20

Uffe Haagerup (University of Southern
Denmark) Unbounded Rdiagonal elements and applications to invariant subspaces 
10:30  11:00

Coffee Break 
11:00  11:50

Alexandru Nica (University
of Waterloo) Evolution towards boxplusinfinite divisibility in several variables 
12:00  2:00

Lunch break 
2:00  2:50

Sandrine Péché (University
of Grenoble) Universality results for the largest eigenvalue of sample covariance matrices 
3:00  3:50

Zeph Landau (The City College of
New York) Quantum Computation, the Jones Polynomial, and Tensor networks 
4:00  4:30

Coffee Break 
4:30  5:30

Dror BarNatan (University of Toronto) A Very NonPlanar Very Planar Algebra 
Friday, September 21  
9:00  9:30

Morning Coffee 
9:30  10:20

Teodor Banica (Paul Sabatier University,
Toulouse) Free probabilistic aspects of quantum algebra 
10:30  11:00

Coffee Break 
11:00  11:50

Piotr Sniady (University
of Wroclaw) Free probability and asymptotic representation theory of symmetric groups 
12:00  2:00

Lunch break 
2:00  2:50

Pinhas Grossman (Vanderbilt University) Intermediate subfactors 
3:00  3:50

Balint Virag (University of Toronto) Continuum limits of random matrices 
All scientific events are open to the mathematical sciences community. Visitors who are interested in office space or funding are requested to apply by filling out the application form. Additional support is available (pending NSF funding) to support junior US visitors to this program.
Applications for such support from all qualified candidates,
particularly women, aboriginal peoples, persons with disabilities
and members of visible minorities are strongly encouraged,
and can be made using the online form.