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

6-12.07.2014, Będlewo, Poland

Sunday,July 6
Monday,July 7
08:00 - 09:00Breakfast
09:00 - 09:40Takeshi Hirai (Kyoto)
 Spin representations of twisted central products of double covering finite groups and the case of permutation groups (joint work with Akihito Hora)
09:45 - 10:25Karol Życzkowski (Jagiellonian University, Kraków)
 On multiplicative free square root of the Marchenko-Pastur distribution (joint work with Wojciech Mlotkowski, Maciej Nowak and Karol Penson)
10:25 - 10:50Coffee break
10:50 - 11:30Nobuaki Obata (Tohoku University)
 Spectral Analysis of Digraphs and Coupled Oscillators with Self-Adaptive Dynamics
11:35 - 12:00Takahiro Hasebe (Hokkaido University)
 Unimodality for freely selfdecomposable distributions
12:05 - 12:30Octavio Arizmendi (Centro de Investigación en Matemáticas)
 Classical and Free Infinite Divisibility of Scale Mixtures of Boolean Stable Laws
12:35 - 13:00Anna Wysoczańska-Kula (University of Wrocław)
 L\'{e}vy processes on compact quantum groups
13:00 - 14:00Lunch
Room C 15:30 - 16:00  Room A 15:30 - 16:00
Noriyoshi Sakuma (Aichi University of Education)  Jacek Brodzki (University of Southampton)
On Marchenko-Pastur limit of random matrices with dependent entries  The local spectrum of the Dirac operator for the universal cover of $SL(2,\mathbb{R})$
Room C 16:05 - 16:35  Room A 16:05 - 16:35
Piotr Warchoł (Jagiellonian University, Kraków)  Adam Skalski (Polish Academy of Sciences &University of Warsaw)
Dysonian dynamics of the Ginibre ensemble  Haagerup property for quantum groups and arbitrary von Neumann algebras
16:35 - 17:10Coffee and cakes
Room C 17:10 - 17:40  Room A 17:10 - 17:40
Jacek Grela (Jagiellonian University, Kraków)  Franz Lehner (Technische Universität Graz)
Diffusion of non-hermitian matrix models  Combinatorics of Cumulants
Room C 17:45 - 18:15  Room A 17:45 - 18:15
Avital Frumkin (Tel Aviv University)  Vincel Hoang Ngoc Minh (Université Paris-Nord)
The diagonal of real symmetric matrices of given spectra as measure space and Zuber Itzycson Harish Chandra integral over the Orthogonal group  Factorization and Renormalization
Room C 18:20 - 18:50  Room A 18:20 - 18:50
Mykhailo Poplavskyi (University of Warwick)  Marie Choda (Osaka Kyoiku University)
Annihilated random walks as an extended Pfaffian point process  Operator Algebraic Shannon's Interpretation for Entropy-preserving Stochastic Averages
19:00 - 20:00Dinner
20:00 - 21:00 Baby Talk - Marius Junge
 Stochastic integration for martingales
Tuesday,July 8
08:00 - 09:00Breakfast
09:00 - 09:40Yasuyuki Kawahigashi (University of Tokyo)
 Subfactors, tensor categories and boundary conformal field theory
09:45 - 10:25Gérard Duchamp (Université Paris-Nord)
 Noncommutative symmetric functions, bases in duality and representations
10:25 - 10:50Coffee break
10:50 - 11:30Piotr Sołtan (University of Warsaw)
 A characterization of amenability of locally compact groups and quantum groups
11:35 - 12:00Yanqi Qiu (Aix-Marseille Université)
 The spectral measure of infinite random matrices with Hua-Pickrell laws
12:05 - 12:30Søren Knudby (University of Copenhagen)
 When do Fourier and Rajchman agree?
12:35 - 13:00Mihai Popa (University of Texas at San Antonio)
 Asymptotic Freeness and Matrix Transpose for Wishart and Unitarily Invariant Ensembles of Random Matrices
13:00 - 13:10Picture
13:10 - 14:00Lunch
Room C 15:30 - 16:00  Room A 15:30 - 16:00
Wilhelm von Waldenfels (Heidelberg)  Michaël Ulrich (Université de Franche-Comté, Besançon)
Measure theoretic formulation of quantum white noise  Random Matrices and Free Lévy Processes
Room C 16:05 - 16:35  Room A 16:05 - 16:35
Joachim Zacharias (University of Glasgow)  Dániel Virosztek (Budapest University of Technology and Economics)
Construction of spectral triples and quantum metric spaces  Decomposition of matrix variances and subadditivities of certain entropies
16:35 - 17:10Coffee and cakes
17:10 - 18:10Poster session - Room C
Wednesday,July 9
08:00 - 09:00Breakfast
09:00 - 09:40Stanisław Lech Woronowicz (University of Warsaw)
 Monoidal categories of $C^*$-algebras
09:45 - 10:25Marius Junge (Illinois at Urbana Champaign)
 Riesz transforms and harmonic analysis
10:25 - 10:50Coffee break
10:50 - 11:30Uwe Franz (Université de Franche-Comté, Besançon)
 Hunt's formula for the compact quantum groups $SU_q(N)$ and $U_q(N)$.
11:35 - 12:00Carlos Vargas Obieta (Universität des Saarlandes)
 A General Solution to Eigenvalue Distributions of Hermitian Random Matrices
12:05 - 12:30Seung-Hyeok Kye (Seoul National University)
 Separable states with unique decompositions and applications to construction of PPT entanglement
12:35 - 13:00Ion Nechita (CNRS, Université de Toulouse)
 Positive and completely positive maps via free additive powers of probability measures
13:00 - 14:00Lunch
19:00 - 20:00Dinner
20:00 - 21:00 Baby Talk - Karol Penson
 From coherent states to combinatorics and back
Thursday,July 10
08:00 - 09:00Breakfast
09:00 - 09:40Robin Hudson (Loughborough University)
 A causal quantum stochastic double product integral related to L\'{e}vy area
09:45 - 10:25Tatsuya Tate (Tohoku University)
 Powers of certain quantum walks
10:25 - 10:50Coffee break
10:50 - 11:30Jiun-Chau Wang (University of Saskatchewan)
 Superconvergence to freely infinitely divisible laws
11:35 - 12:00Adam Paszkiewicz (University of Łódź)
 On projections, quantum effects and solutions of some old problems on representations
12:05 - 12:30Janusz Wysoczański (University of Wrocław)
 Generalisation of anyon statistics
12:35 - 13:00Michał Wojtylak (Jagiellonian University, Kraków)
 On the Weyl function for operators, linear pencils and structured random matrices
13:00 - 14:00Lunch
Room C 15:30 - 16:00  Room A 15:30 - 16:00
Nobuhiro Asai (Aichi University of Education)  Arup Bose (Indian Statistical Institute, Kolkata)
The $q$-deformed Bargmann measures related to Class I and III of Brenke-Chihara polynomials for $0〈q〈1$  Convergence of a class of Toeplitz type matrices
Room C 16:05 - 16:35  Room A 16:05 - 16:35
Rachid El Harti (University Hassan I, Settat)  Monika Bhattacharjee (Indian Statistical Institute, Kolkata)
The Banach-Stone theorem for some Banach $*$-algebras and Applications  Limiting Spectral Distribution of Symmetrized Autocovariance Matrices under Infinite Dimensional Vector Linear Process and Its Application to Diagnosis the Time Series Model
16:35 - 17:10Coffee and cakes
Room C 17:10 - 17:40  Room A 17:10 - 17:40
Marcin Marciniak (University of Gdańsk)  Ayan Bhattacharya (Indian Statistical Institute, Kolkata)
Quantum symmetries of noncommutative torus  Heavy-tailed random fields indexed by trees
Room C 17:45 - 18:15  Room A 17:45 - 18:15
Zhi Yin (University of Gdańsk)  Kamil Szpojankowski (Warsaw University of Technology)
Operator space approach to steering inequality - joint work with M. Horodecki and M. Marciniak.  The Lukacs property in free probability and related characterization
Room C 18:20 - 18:50  Room A 18:20 - 18:50
Maciej Dołęga (University of Wrocław)  Hayato Saigo (Nagahama Institute of Bio-Science and Technology)
Gaussian fluctuations of anisotropic Young diagrams  The Arcsine law and an asymptotic behavior of orthogonal polynomials
Friday,July 11
08:00 - 09:00Breakfast
09:00 - 09:40Gero Fendler (Universität Wien)
 On the weak$^{\ast}$-fixed point properties of Fourier-Stieltjes algebras and of the Banach space duals of separable $C^{\ast}$-Algebras.
09:45 - 10:25Un Cig Ji (Chungbuk National University)
 Quantum White Noise Differential Equations and Applications
10:25 - 10:50Coffee break
10:50 - 11:30Fumio Hiai (Tohoku University)
 Anti-norms and superadditivity inequalities in type $II_1$ factors
11:35 - 12:00Andrzej Łuczak (University of Łódź)
 On the commutativity of states in von Neumann algebras
12:05 - 12:30Anna Jencova (Slovak Academy of Sciences, Bratislava)
 Quantum versions of the classical randomization criterion
12:35 - 13:00Biswarup Das (Polish Academy of Sciences, Warsaw)
 Eberlein compactification of quantum groups
13:05 - 13:30Wiktor Ejsmont (University of Wrocław)
 New characterization of two-state normal distribution
13:30 - 14:30Lunch
16:35 - 17:10Coffee and cakes
19:00 - 20:00Dinner
20:00 - 21:00Problem session
Saturday,July 12
08:00 - 09:00Breakfast
09:00 - 09:40Karol Penson (Université Pierre et Marie Curie, Paris 6)
 Combinatorial sequences in classical and free probability
09:45 - 10:25Izumi Ojima (Research Institute for Mathematical Sciences, Kyoto University)
 Holonomy as geometric template in physical emergence of Macro objects
10:25 - 10:50Coffee break
10:50 - 11:30Jurij Kryakin (University of Wrocław)
 On the exact constant in the Jackson--Stechkin inequality for the uniform metric. The talk is based on the joint works with A.Babenko, A. Shadrin, S.Foucart and P.Staszak
11:35 - 12:00Mateusz Wasilewski (Warsaw University)
 Amalgamated direct sums of operator spaces