17th WORKSHOP: NON-COMMUTATIVE HARMONIC ANALYSIS

Random Matrices, representation theory and free probability, with applications.

24-30.07.2016, Będlewo, Poland





Sunday,July 24
  
  
19:00Dinner
  
  
Monday,July 25
  
  
08:00 - 09:00Breakfast
  
  
09:00 - 09:40Dan Voiculescu (University of California, Berkeley)
 The commutant mod a normed ideal of an $n$--tuple of operators
  
09:45 - 10:25Anatolij Vershik (Steklov Institue of Mathematics, St. Petersburg)
 Filtration in the theory of AF-algebras and in Probability Theory
  
  
10:25 - 10:50Coffee break
  
  
10:50 - 11:30Yuri Tomilov (IMPAN)
 Why do circles in the spectrum matter?
  
11:35 - 12:15Hari Bercovici (Indiana University)
 Conjectures related to the Connes embedding problem
  
12:20 - 13:00Eugene Lytvynov (Swansea University)
 Gauge-invariant quasi-free states on the algebra of the anyon commutation relations
  
  
13:15 - 14:15Lunch
  
  
  
Room C 15:30 - 16:00  Room A 15:30 - 16:00
Jan Dereziński (University of Warsaw)  Franz Lehner (Technische Universität Graz)
On almost homogeneous Schroedinger operators  Some characterization problems in free probability
    
Room C 16:00 - 16:30  Room A 16:00 - 16:30
Jan Stochel (Jagiellonian University, Kraków)  Jiun-Chau Wang (University of Saskatchewan)
Exotic composition operators over directed graphs with one circuit.  Limit distributions in bi-free probability theory
    
  
  
16:30 - 17:00Coffee and cakes
  
  
  
Room C 17:00 - 17:30  Room A 17:00 - 17:30
Il Bong Jung (Kyungpook National University)  Wiktor Ejsmont (Wrocław University of Economics)
A remark on the invariant subspace problem  Restricted crossings of type B partitions
    
Room C 17:30 - 18:00  Room A 17:30 - 18:00
Marek Ptak (University of Agriculture in Kraków)  Octavio Arizmendi (Centro de Investigación en Matemáticas)
Asymmetric truncated Toeplitz operators and their symbols (by Marek Ptak and Kamila Kli\'s--Garlicka)  On Distance k-Graph of Star and Free Products of Graphs
    
Room C 18:00 - 18:30  Room A 18:00 - 18:30
Zenon Jabłoński (Jagiellonian University, Kraków)  Aurel Stan (Ohio State University)
Some properties of the Cauchy Dual of a $2$-isometry  Some inequalities for norms of Wick products
    
Room C 18:30 - 19:00  Room A 18:30 - 19:00
Michał Wojtylak (Jagiellonian University, Kraków)  Nobuhiro Asai (Aichi University of Education)
On random perturbations of matrices and matrix polynomials (joint work with P. Pagacz, Jagiellonian University)  Distribution of the field operator on the $(\alpha,q)$-deformed Fock space
    
  
  
19:15 - 20:00Dinner
  
  
Tuesday,July 26
  
  
08:00 - 09:00Breakfast
  
  
09:00 - 09:40Joachim Cuntz (Mathematisches Institut Westfälische Wilhelms-Universität Münster)
 Left regular $C^*$--algebras for semigroups from number theory
  
09:45 - 10:25Michael Anshelevich (Texas A&M University)
 The exponential homomorphism in non-commutative probability.
  
  
10:25 - 10:50Coffee break
  
  
10:50 - 11:30Nobuaki Obata (Tohoku University)
 Counting Walks in Graphs: A Quantum Probabilistic Approach
  
11:35 - 12:15Vadim Kaimanovich (University of Ottawa)
 Boundary behaviour of Thompson's group F
  
12:20 - 13:00Luigi Accardi (Universita degli Studi di Roma "Tor Vergata")
 Some follow ups of a joint paper with Marek Bożejko
  
  
13:15 - 14:15Lunch
  
  
  
Room C 15:30 - 16:00  Room A 15:30 - 16:00
Kalyan Sinha (Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore)  Gerhard Racher (Universität Salzburg)
Stop-Time in Fock Space and Markov CCR-- Flows  On invariant operators
    
Room C 16:00 - 16:30  Room A 16:00 - 16:30
Marie Choda (Osaka Kyoiku University)  Romuald Lenczewski (Wrocław University of Technology)
Operational extreme points of completely positive maps  Limit moments of product matrices of Wishart type
    
  
  
16:30 - 17:00Coffee and cakes
  
  
  
Room C 17:00 - 17:30  Room A 17:00 - 17:30
Uwe Franz (Université de Franche-Comté, Besançon)  Seung-Hyeok Kye (Seoul National University)
What is the Laplace operator on the free sphere?  Separability of three qubit Greenberger-Horne-Zeilinger diagonal states
    
Room C 17:30 - 18:00  Room A 17:30 - 18:00
Adam Skalski (Polish Academy of Sciences & University of Warsaw)  Izumi Ojima (Research Institute for Mathematical Sciences, Kyoto University)
An application of conditionally free product of states to approximation properties of discrete quantum groups.  Local Gauge Invariance in Algebraic QFT
    
Room C 18:00 - 18:30  Room A 18:00 - 18:30
Un Cig Ji (Chungbuk National University)  Karol Życzkowski (Jagiellonian University, Kraków)
Quantum Stochastic Integral Representations of Admissible White Noise Operators  Average trace distance and Symmetrized Marchenko Pastur distribution
    
Room C 18:30 - 19:00  Room A 18:30 - 19:00
Krzysztof Nowak (Drexel University, Philadelphia)  Franco Fagnola (Politecnico di Milano)
Low dimensional phase space parametrizations of reproducing formulae and orthonormal bases in space dimensions $1$ and $2$  Structure of norm-continuous quantum Markov semigroups
    
  
  
19:30Picture and Barbecue
  
  
Wednesday,July 27
  
  
08:00 - 09:00Breakfast
  
  
09:00 - 09:40Gilles Pisier (Texas A&M University)
 Sidon sets in bounded orthonormal systems
  
09:45 - 10:25Friedrich Götze (Bielefeld University)
 Asymptotic Approximations of Classical and Free Relative Entropy
  
  
10:25 - 10:50Coffee break
  
  
10:50 - 11:30Takahiro Hasebe (Hokkaido University )
 Free infinite divisibility for powers of random variables
  
11:35 - 12:15Takeshi Hirai (Kyoto)
 Spin characters of finite and infinite generalized symmetric groups $G(m,1,n), 4\le n\le \infty.$
  
12:20 - 13:00Piotr Śniady (Adam Mickiewicz University, Poznań)
 Dual cominatorics of Jack polynomials and graphs on surfaces
  
  
13:00 - 14:00Lunch
  
  
  
14:00Excursion to Rogalin
  
  
  
19:15 - 20:00Dinner
  
  
  
20:00Party in building B
  
  
Thursday,July 28
  
  
08:00 - 09:00Breakfast
  
  
09:00 - 09:30Hiroaki Yoshida (Ochanomizu University, Tokyo)
 Remarks on the fluctuation moments of Wigner matrices
  
09:35 - 10:05Włodek Bryc (University of Cincinnati)
 The local structure of $q$--Gaussian processes
  
10:10 - 10:40Roland Speicher (Universität des Saarlandes)
 On deformations and independences
  
  
10:40 - 11:20Coffee break
  
  
11:20 - 11:50Michael Leinert (Ruprecht-Karls-Universität Heidelberg)
 Remarks on a result of Klaus Werner
  
11:55 - 12:25Antoine Derighetti (EPFL)
 The extension property for the Fourier Algebra
  
12:30 - 13:00Gero Fendler (Universität Wien)
 Symmetry of group algebras and inverse closed subalgebras of $B(H)$
  
  
13:15 - 14:15Lunch
  
  
  
16:00 - 16:30Coffee and cakes
  
  
  
16:30 - 18:15Talks by Marek's Students
  
  
  
19:15Banquet
  
  
Friday,July 29
  
  
08:00 - 10:00Breakfast
  
  
09:45 - 10:25Fumio Hiai (Tohoku University)
 Reversibility of stochastic maps via quantum divergences
  
10:30 - 11:10Maciej Nowak (Jagiellonian University, Kraków)
 Diffusion of hermitian and non-hermitian Gaussian random matrices - unexpected links
  
  
11:10 - 11:35Coffee break
  
  
11:35 - 12:15Florin Boca (University of Illinois at Urbana Champaign)
 Statistics of Farey fractions and distribution of eigenvalues in large sieve matrices
  
12:20 - 13:00Franciszek Hugon Szafraniec (Jagiellonian University, Kraków)
 The anatomy of coherent states
  
13:05 - 13:45Massimo Picardello (Universita degli Studi di Roma "Tor Vergata")
 Universal properties of harmonic functions on trees
  
  
14:00 - 15:00Lunch
  
  
  
16:30 - 17:00Coffee and cakes
  
  
  
Room C 17:00 - 17:30  Room A 17:00 - 17:30
Joachim Zacharias (University of Glasgow)  Wilhelm von Waldenfels (Heidelberg)
On embeddings of exact $C^*$-algebras into nuclear ones  Results in Spectral Schwartz Distributions
    
Room C 17:30 - 18:00  Room A 17:30 - 18:00
Robin Hudson (Loughborough University)  Vito Crismale (Universita degli Studi di Bari Aldo Moro)
Classical and quantum Lévy areas \newline (delivered by Andrzej Łuczak)  Generalized ergodic properties for Yang-Baxter-Hecke quantisation
    
Room C 18:00 - 18:30  Room A 18:00 - 18:30
Michael Skeide (Universita degli Studi del Molise, Campobasso)  Noriyoshi Sakuma (Aichi University of Education)
Freeness vs Monotone Independence; from Spatial Tensor Product Systems to Free Product Systems  Unimodality and selfdecomposability in clasiccal and free probability
    
  
  
18:30 - 19:00Poster session
  
  
  
19:15 - 20:00Dinner
  
  
Saturday,July 30
  
  
08:00 - 09:00Breakfast
  
  
09:00 - 09:40Adam Majewski (University of Gdańsk)
 Dynamical maps on non-commutative Orlicz spaces
  
09:45 - 10:25Adam Paszkiewicz (University of Łódź)
 On divergent products of contractions -- simple ideas in complicated constructions
  
  
10:25 - 10:50Coffee break
  
  
10:50 - 11:20Aljosa Peperko (University of Ljubljana)
 Inequalities on the spectral radius, operator norm and numerical radius of Hadamard weighted geometric mean of positive kernel operators
  
11:25 - 11:55Biswarup Das (Mathematics Research Unit, University of Oulu)
 From compact semitopological quantum semigroups to compact quantum groups: Ellis joint continuity theorem
  
  
  
12:15Lunch