Schedule
Workshops
- The first workshop period (first week, second week) February 14-25, 2011 was about Combinatorial, Bialgebra, and Analytic Aspects
- The second workshop period (first week, second week) April 11-21, 2011 is about Random Matrix, Operator Algebra, and Mathematical Physics Aspects
Lecture Series
The following series of lectures are planned.| Lecturer | Title | Dates |
| R. Speicher | Combinatorial aspects of free probability | Feb 14-18 |
| M. Aguiar | Infinitesimal bialgebras | Feb 21-25 |
| T.Banica | Probabilistic aspects of free quantum groups | Apr 11-15 |
| D.Voiculescu | Around the free Riemann sphere and duality for infinitesimal bialgebras | Apr 18-21 |
Talks outside the workshops
| date | Lecturer | Title |
| 7.3.2011 | G.Racher | Injective modules and amenable groups |
| 14.3.2011 | G.Fendler | Remarks on the regular C*-algebras of non-amenable Coxeter groups |
| 28.3.2011 | E.Candellero | Asymptotic behaviour of Random Walks on Free Products of Groups |
| 28.3.2011 | L.Gilch | Branching Random Walks on Free Products of Groups |
| 29.3.2011 | P.Zwiernik | Markov tree models and L-cumulants |
| 5.4.2011 | M.Josuat-Verghes | Moments of orthogonal polynomials, and the normal ordering problem |
First Workshop
Week 1 (February 14.-18.)
Lecture Series
- R. Speicher, Combinatorial aspects of free probability (daily 10:30-11:30)
Talks
Monday February 14.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | R. Speicher | Combinatorial aspects of free probability 1 |
| 11:30 | V. Feray | Characters of symmetric groups, free cumulants and a combinatorial Hopf algebra |
| 14:00 | M. Anshelevich | Convolution semigroups with linear Jacobi parameters |
| 15:00 | Coffee | |
| 15:30 | M. Bozejko | New characterisation of free Meixner processes |
| 16:30 | O. Arizmendi | k-divisible Non-Crossing Partitions and Free Probability |
Tuesday February 15.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | R. Speicher | Combinatorial aspects of free probability 2 |
| 11:30 | R. Lenczewski | Matricial R-transform |
| 14:00 | H. Bercovici | On sums and products in finite factors |
| 15:00 | Coffee | |
| 15:30 | T. Hasebe | On Cauchy distributions in non-commutative probability |
| 16:30 | M. Brannan | Approximation properties for free orthogonal and free unitary quantum groups |
Wednesday February 16.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | J.L. Loday | Generalized Hopf algebras and operads |
| 11:30 | P. Sniady | Free cumulants in representation theory |
| 14:15 | C. Koestler | Noncommutative independence in the infinite braid and symmetric group |
| 15:05 | Coffee | |
| 15:30 | F. Goetze | Asymptotic Expansions in the Free Central Limit Theorem |
Thursday February 17.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | R. Speicher | Combinatorial aspects of free probability 3 |
| 11:30 | F. Lehner | The normal law, free probability, and a Hopf algebra of rooted binary trees |
| 14:15 | C. Mazza | B-Series, Schwinger-Dyson Equations And Wigner Processes |
| 15:05 | Coffee | |
| 15:30 | T. Cabanal-Duvillard | A generalization of a result of Marchenko and Pastur, providing a family of Bercovici-Pata bijections |
| 16:30 | C. Sattlecker | Free log-normal distribution and confluent hypergeometric series |
Friday February 18.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | R. Speicher | Combinatorial aspects of free probability 4 |
| 11:30 | J. Mingo | Second Order Freeness and Wigner Ensembles |
| 14:15 | K.Dykema | An application of asymptotic freeness to soficity of groups |
| 15:05 | Coffee | |
| 15:30 | M.Dolega | Colorings of bipartite graphs and polynomial functions on the set of Young diagrams |
Week 2 (February 21.-25.)
Lecture Series
- M. Aguiar, Infinitesimal Bialgebras
We will review basic notions pertaining to infinitesimal bialgebras, as well as some new points of view motivated mainly by work of Voiculescu (Free Analysis Questions I and II). These will include:
a) A discussion of the interplay between infinitesimal and Frobenius bialgebras.
b) An algebraic perspective on the algebras of fully matricial functions of Voiculescu.
Monday February 21.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | M. Aguiar | Infinitesimal Bialgebras 1 |
| 11:30 | C. Krattenthaler | Generalized non-crossing partitions for reflection groups and cyclic sieving |
| 14:15 | T. Banica | Probabilistic aspects of free quantum groups |
| 15:05 | Coffee | |
| 15:30 | B. Collins | Free probability, random matrices and quantum information theory |
| 16:30 | E. Redelmeier | Second-order Freeness in the Real Case |
Tuesday February 22.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | M. Aguiar | Infinitesimal Bialgebras 2 |
| 11:30 | M. Mastnak | Bialgebras and free multiplicative convolution |
| 14:15 | C. Brouder | Noncommutative Feynman graphs and Hopf algebra cohomology |
| 15:05 | Coffee | |
| 15:30 | L. Pastur | Laws of Fluctuations for Spectral Statistics of Random Matrices |
| 16:30 | M. Popa | Non-commutative functions and some of their applications in free probability |
Wednesday February 23.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | M. Aguiar | Infinitesimal Bialgebras 3 |
| 11:30 | A. Nica | On the C*-algebra of the Fock space representation for the q-commutation relations |
| 14:15 | N. Muraki | A certain q-interpolation between tensor and free independence |
| 15:05 | Coffee | |
| 15:30 | F. Patras | Noncommutative Spitzer identities |
| 16:30 | D. Evans | Modular invariants, subfactors and trivial equivariant K-theory |
Thursday February 24.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | M. Aguiar | Infinitesimal Bialgebras 4 |
| 11:30 | G. Chistyakov | Infinitely divisible approximations of n-fold free convolutions |
| 14:15 | J.C. Wang | A new approach to the monotone central limit theorem |
| 15:05 | Coffee | |
| 15:30 | I. Krolak | General commutation relations - properties of associated algebras and Ornstein-Uhlenbeck semigroup |
| 16:30 | C. Vargas | Different sized Haar-unitaries arising from random matrix models |
Friday February 25.
| Time | Lecturer | Title |
| 10:00 | Coffee | |
| 10:30 | M. Gordin | Formal and Analytic Groups Related to Free Probability |
| 11:30 | T. Gannon | The search for the exotic |
Second Workshop
Week 1 (April 11.-15.)
Lecture Series
- T. Banica, Probabilistic aspects of free quantum groups (daily 10:00-11:00)
Talks
Monday April 11.
| Time | Lecturer | Title |
| 10:00 | T. Banica | Probabilistic aspects of free quantum groups 1 |
| 11:00 | Coffee | |
| 11:30 | S. Belinschi | Convolution semigroups for operator valued distributions |
| 14:15 | S. Thorbjornsen | Asymptotic expansions for GUE andWishart random matrices |
| 15:05 | Coffee | |
| 15:30 | P. Soltan | An application of property (T) for discrete quantum groups |
Tuesday April 12.
| Time | Lecturer | Title |
| 10:00 | T. Banica | Probabilistic aspects of free quantum groups 2 |
| 11:00 | Coffee | |
| 11:30 | P. Di Francesco | The Proof of the ASM-DPP Conjecture |
| 14:15 | C. Donati | Truncations of Haar distributed matrices and bivariate Brownian bridge |
| 15:05 | Coffee | |
| 15:30 | R. Vergnioux | Path cocycles in quantum Cayley trees and L2-cohomology |
| 16:30 | H. Cheballah | Gog, Magog and Schützenberger Involution |
Wednesday April 13.
| Time | Lecturer | Title |
| 10:00 | D. Shlyakhtenko | Planar algebras and free probability |
| 11:00 | Coffee | |
| 11:30 | P. Zinn-Justin | Planar algebras and Potts model on random lattice |
Thursday April 14.
| Time | Lecturer | Title |
| 10:00 | T. Banica | Probabilistic aspects of free quantum groups 3 |
| 11:00 | Coffee | |
| 11:30 | S. Curran | On the symmetric enveloping algebra of planar algebra subfactors |
| 14:15 | P. Biane | Brownian motion on matrices |
| 15:05 | Coffee | |
| 15:30 | M. Bozejko | Deformed Fock spaces, Hecke operators and non-commutative Levy processes for generalized anyonic statistics |
| 16:30 | N. Alekseev | Genus expansion for some ensembles of random matrices |
Friday April 15.
| Time | Lecturer | Title |
| 10:00 | T. Banica | Probabilistic aspects of free quantum groups 4 |
| 11:00 | Coffee | |
| 11:30 | M. Nowak | Multiplication law and S-transform for non-hermitian random matrices |
| 14:15 | Y. Dabrowski | Applications of free SDEs to von Neumann algebras of q-gaussian variables |
| 15:05 | Coffee | |
| 15:30 | F. Radulescu | A quantum double for Hecke operators, Ramanujan Petersson Conjectures and Free Probability |
| 16:30 | C. Male | The norm of polynomials in random and deterministic matrices |
Week 2 (April 18.-21.)
Lecture Series
- D. Voiculescu, Around the free Riemann sphere and duality for infinitesimal bialgebras (daily 14:15-15:05)
Talks
Monday April 18.
| Time | Lecturer | Title |
| 10:00 | S. Woronowicz | Simplified E(2) quantum group |
| 11:00 | Coffee | |
| 11:30 | F. Benaych-Georges | Finite rank perturbations of random matrices and free probability theory |
| 14:15 | D. Voiculescu | Around the free Riemann sphere and duality for infinitesimal bialgebras 1 |
| 15:05 | Coffee | |
| 15:30 | U. Franz | Symmetries of Levy processes on compact quantum groups |
| 16:30 | J.D. Williams | Decomposition and Tightness in Free Probability |
Tuesday April 19.
| Time | Lecturer | Title |
| 10:00 | M. Junge | Martingales with continuous time and application to brownian motion and dilation |
| 11:00 | Coffee | |
| 11:30 | M. Capitaine | Free subordination property and deformed matricial models |
| 14:15 | D. Voiculescu | Around the free Riemann sphere and duality for infinitesimal bialgebras 2 |
| 15:05 | Coffee | |
| 15:30 | Y. Ueda | On free product von Neumann algebras |
| 16:30 | N. Blitvic | Chords, Norms, and q-Commutation Relations |
Wednesday April 20.
| Time | Lecturer | Title |
| 10:00 | H. Maassen | Entanglement of Werner states: greatest cross norm and immanant inequalities |
| 11:00 | Coffee | |
| 11:30 | G. Tucci | Random Vandermonde Matrices and Covariance Estimates |
| 14:15 | D. Voiculescu | Around the free Riemann sphere and duality for infinitesimal bialgebras 3 |
| 15:05 | Coffee | |
| 15:30 | A. Tikhomirov | On the asymptotics of the spectrum of products and powers of large random matrices |
Thursday April 21.
| Time | Lecturer | Title |
| 10:00 | B. Collins | Random matrices, representations of GL(n) and free probability of higher order |
| 11:00 | Coffee | |
| 11:30 | C. Koestler | Noncommutative independence from characters of the infinite symmetric group |
| 14:15 | A. Nica | Convolution powers in operator-valued framework |
| 15:05 | Coffee | |
| 15:30 | N. Demni | Kanter random variable and positive free stable laws |
| 16:30 | M. Anshelevich | Two-state free Brownian motions |