The Probabilistic Operator Algebras Seminar is an online seminar organized by Dan-Virgil Voiculescu that features talks on recent advances in free probability, operator algebras, random matrices, and related topics. If you would like to receive information about the seminar please send an email to: jgarzav at caltech dot edu.
Titles, abstracts, and slides from future and past talks are available below.
Upcoming Talks
July 26, 8:00a.m.-10:30a.m. (Pacific Time)
Title: Operator-Valued Twisted Araki-Woods Algebras.
Speaker: Melchior Wirth, Institute of Science and Technology Austria.
Abstract
August 2, 8:00a.m.-10:30a.m. (Pacific Time)
Title: The Fuglede-Kadison determinant of matrix-valued semicircular ele-
ments and the capacity of completely positive maps.
Speaker: Tobias Mai, University of the Saarland at Saarbrucken.
Abstract
August 9, 8:00a.m.-10:30a.m. (Pacific Time)
Title: Voiculescu's Theorem in Properly Infinite Factors.
Speaker: Don Hadwin, University of New Hampshire.
Abstract
August 16, 8:00a.m.-10:30a.m. (Pacific Time)
Title: On the Singular Abelian Rank of Ultraproduct II1 Factors.
Speaker: Patrick Hiatt, UCLA.
Abstract
Past Talks (Spring of 2024)
July 19, 8:00a.m.-10:30a.m. (Pacific Time)
Title: A New Approach to Strong Convergence.
Speaker: Jorge Garza-Vargas, Caltech.
Abstract
July 12, 8:00a.m.-10:30a.m. (Pacific Time)
Title: Schreier's Formula for some Free Probability Invariants.
Speaker: Aldo Garcia Guinto, Michigan State University.
Abstract, Slides
May 21, 10:30a.m.-12:00p.m. (Pacific Time)
Title: Central Limit Theorem for tensor products of free variables.
Speaker: Patrick Oliveira Santos, Universite Gustave Eiffel Paris.
Abstract, Slides
May 7, 10:30a.m.-12:00p.m. (Pacific Time)
Title: Structural properties of graph products of von Neumann algebras.
Speaker: Ben Hayes, University of Virginia.
Abstract
April 23
Title: An Application of Free Probability in the Study of Noncommutative Constraint Satisfaction Problems
Speaker: Hamoon Mousavi, Simons Institute for Theoretical Computer Science, UC Berkeley.
Abstract, Slides
April 16
Title: A fixed point approach to non-commutative central limit theorems.
Speaker: Jad Hamdan, University of Oxford.
Abstract
April 9
Title: Free probability of type B prime
Speaker: Takahiro Hasebe, Hokkaido University
Abstract, Slides
March 19
Title: Zero Bias in the Free World
Speaker: Todd Kemp, UCSD
Abstract, Slides
March 12
Title: Combinatorial aspects of Parraud's asymptotic expansion for GUE matrices
Speaker: David Jekel, Fields Institute
Abstract
March 5
Title: Almost uniform convergence in von Neumann algebras
Speaker: Eric Ricard, University of Caen Normandy
Abstract
February 27
Title: Selfless C*-algebras
Speaker: Leonel Robert, UL Lafayette
Abstract, Slides
February 20
Title: On operator-valued R-diagonal and Haar unitary elements
Speaker: Ken Dykema, Texas A&M
Abstract, Slides
February 13
Title: Nuclear C*-algebras and generalized inductive limits
Speaker: Kristin Courtney, University of Southern Denmark Odense
Abstract, Slides
February 6
Title: Deformation of Voiculescu free Fock space and q-convolutions of probability measures on the real line
Speaker: Marek Bozejko, University of Wroclaw
Abstract, Slides
January 30
Title: Bi-free probability and reflection positivity
Speaker: Roland Speicher, Saarland University Saarbruecken
Abstract, Slides
January 23
Title: On Voiculescu's Topological Free Entropy for C*-algebras
Speaker: Junhao Shen, University of New Hampshire
Abstract, Slides
January 16
Title: The Boolean quadratic forms and tangent law
Speaker: Wiktor Ejsmont, Wroclaw University of Science and Technology
Abstract, Slides
Past Talks (Fall of 2023)
December 11
Title: Towards applications of free random variables in cognitive science.
Speaker: Maciej Nowak, Mark Kac Center for Complex Systems Research, Jagellonian University Cracow.
Abstract, Slides
December 4
Title: Free Integral Calculus.
Speaker: Franz Lehner and Kamil Szpojankowski, TU Graz and Warsaw University of Technology.
Abstract, Slides Lehner, Slides Szpojankowski
November 27
Title: A variational approach to free convolutions.
Speaker: Octavio Arizmendi, CIMAT.
Abstract, Slides
November 20
Title: Finite free probability and hypergeometric polynomials.
Speaker: Daniel Perales, Texas A&M.
Abstract, Slides
November 6
Title: The space of traces of the free group and free products of matrix algebras.
Speaker: Raz Slutsky, Weizmann Institute.
Abstract, Slides
October 30
Title: Biexact von Neumann algebras.
Speaker: Changying Ding, UCLA.
Abstract, Slides
October 23
Title: Energy of vector bundles on Dirichlet spaces and relations with topology.
Speaker: Fabio Cipriani, Politecnico di Milano.
Abstract
October 16
Title: A conjugate system for twisted Araki-Woods algebras of finite dimensional spaces.
Speaker: Zhiyuan Yang, Texas A&M.
Abstract, Slides
October 2
Title: Structure of free group factors.
Speaker: Kunnawalkam Elayavalli Srivatsav, UC San Diego.
Abstract, Slides
September 25
Title: Infinitesimal Operators.
Speaker: James A. Mingo, Queen's University, Canada.
Abstract, Slides
September 18
Title: Hermite trace polynomials.
Speaker: Michael Anshelevich, Texas A&M.
Abstract, Slides
September 11
Title: Free cumulants and large deviations for classical and quantum symmetric exclusion processes.
Speaker: Philippe Biane, Universite Gustave Eiffel.
Abstract, Slides
August 28
Title: Decomposition of free cumulants.
Speaker: Romuald Lenczewski, Wroclaw University of Science and Technology.
Abstract, Slides
August 21
Title: Spectral norm and strong freeness.
Speaker: March Boedihardjo, ETH Zurich.
Abstract, Slides
August 14
Title: Free probability and polynomial roots under repeated differentiation.
Speaker: Andrew Campbell, Institute of Science and Technology Austria.
Abstract, Slides
Past Talks (Spring of 2023)
June 12
Title: Computing free convolutions via contour integrals.
Speaker: Alice Cortinovis, Stanford.
Abstract, Slides
June 5
Title: Methods of holomorphic dynamics in the study of branching processes.
Speaker: Pavel Gumenyuk, Politecnico di Milano.
Abstract, Slides
June 1
Title: An elementary proof of χ ≤ χ* and generalization to conditional entropy.
Speaker: David Jekel and Jennifer Pi, UCSD and UCI.
Abstract, Slides Pi, Slides Jekel
May 22
Title: Around the exact formula for the quasicentral modulus.
Speaker: Dan-Virgil Voiculescu, UC Berkeley.
Abstract, Slides
May 15
Title: Weighted Sums in free Probability Theory.
Speaker: Leonie Neufeld, University of Bielefeld.
Abstract, Slides
May 8
Title: Infinite Quantum Permutations.
Speaker: Christian Voigt, University of Glasgow.
Abstract, Slides
May 1
Title: Central limit theorems for star-generators of the infinite symmetric group.
Speaker: Claus Koestler, University College Cork.
Abstract, Slides
April 24
Title: Rectangular finite free probability.
Speaker: Aurelien Gribinski, INRIA.
Abstract, Slides
April 17
Title: Signal communication and modular theory.
Speaker: Roberto Longo, University of Rome Tor Vergata.
Abstract
April 10
Title: Asymptotic expansions in Random Matrix Theory and application: the case of Haar unitary matrices.
Speaker: Felix Parraud, KTH Royal Institute of Technology.
Abstract, Slides
April 3
Title: Heat flow, random matrices, and random polynomials.
Speaker: Brian Hall, University of Notre Dame.
Abstract, Slides
March 20
Title: Convergence for non-commutative rational functions evaluated in random matrices.
Speaker: Akihiro Miyagawa, University of Kyoto.
Abstract, Slides
March 13
Title (First talk): Popa's averaging property for automorphisms on C*-algebras.
Speaker: Mikael Rordam, University of Copenhagen.
Abstract, Slides
Title (Second talk): Infinite dimensional phenomena in the analysis of Quantum Information Theory.
Speaker: Magdalena Musat, University of Copenhagen.
Abstract, Slides
February 20
Title: Factoriality of q-Araki-Woods von Neumann algebras via conjugate variables.
Speaker: Adam Skalski, Institute of Mathematics Polish Academy of Sciences.
Abstract, Slides
February 13
Title: Monotonicity of entropy for random matrices.
Speaker: Pierre Youssef, New York University Abu Dhabi.
Abstract, Slides
February 6
Title: Alpha-induction and bi-unitary connections.
Speaker: Yasuyuki Kawahigashi, University of Tokyo.
Abstract, Slides
January 30
Title: Modular Structure and Inclusions of Twisted Araki-Woods Algebras.
Speaker: Gandalf Lechner, FAU Erlangen-Nürnberg.
Abstract, Slides