14th WORKSHOP:
Non-Commutative Harmonic Analysis
25 September – 1October, 2011, Będlewo
The main objective of the conference was a presentation, by the leading experts, the latest results of scientific research in the following domains:
- Free probability
- Random matrices
- Non-commutative harmonic analysis
- Classical and non-commutative Markov processes
- Generalized Brownian motions
- Various notions of independence
- Asymptotic spectral analysis of graphs
- Orthogonal polynomials
- Asymptotic representation theory
Organizing Committee
- Marek Bożejko (Wrocław)
- Melanie Hinz (Wrocław)
- Ilona Królak (Wrocław)
- Anna Krystek (Wrocław)
- Anna Kula (Kraków)
- Romuald Lenczewski (Wrocław)
- Marcin Marciniak (Gdańsk)
- Wojciech Młotkowski (Wrocław)
- Rafał Sałapata (Wrocław)
- Łukasz Wojakowski (Wrocław)
- Janusz Wysoczański (Wrocław)
Scientific Committee
- Daniel Alpay (Negev)
- Teodor Banica (Cergy-Pontoise)
- Joachim Cuntz (Münster)
- Gero Fendler (Vienna)
- Uwe Franz (Besançon)
- Fumio Hiai Tohoku)
- Un Cig Ji (Chungbuk)
- Yasuyuki Kawahigashi (Tokyo)
- Seung-Hyeok Kye (Seoul)
- Franz Lehner (Graz)
- Michael Leinert (Heidelberg)
- Eugene Lytvynov (Swansea)
- Naofumi Muraki (Iwate)
- Nobuaki Obata (Tohoku)
- Alexander Soshnikov (UC Davis)
- Roland Speicher (Saarbrücken)
- Jacek Wesolowski (Warsaw)
List of talks
- Helene Airault (Université de Picardie Jules Verne, Insset and LAMFA) Ornstein-Uhlenbeck operators on a Kähler manifold and infinitesimal representation of a Lie group representations, some examples
- Daniel Alpay (Ben-Gurion University of the Negev) Linear stochastic systems and a new class of commutative rings
- Hiroshi Ando (University of Copenhagen and Kyoto University) Embedding of Polish groups into unitary groups of II1 factors (joint work with Yasumichi Matsuzawa at Leipzig and Hokkaido university).
- Octavio Arizmendi (Universität des Saarlandes) On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws
- Nobuhiro Asai (Aichi University of Education) The Brenke type generating functions and orthogonal polynomials.
- Michael Brannan (Queen’s University, Kingston) Reduced von Neumann algebras of quantum permutation groups
- Matthew Brown (University of Nottingham) The Quantum Stochastic (QS) Duhamel Principle
- Mirelle Capitaine (Institut de Mathématiques de Toulouse) Free subordination property and deformed matricial models
- Marie Choda (Osaka Kyoiku University) Entropy for unital completely posive maps
- Dariusz Chruscinski (Nicolaus Copernicus University, Torun) Non-Markovian evolution of quantum systems
- Joachim Cuntz (Mathematisches Institut Westfälische Wilhelms-Universität Münster) The regular C¤-algebras of some semigroups from number theory
- José Luis da Silva (University of Madeira) Poisson grey noise in infinite dimensions
- Mikael de la Salle (Université de Franche-Comté, Besançon) Non-commutative Lp spaces without the operator space approximation property.
- Maxim Derevyagin (National Academy of Science of Ukraine) On the ¸-dynamics of the orthogonal polynomials corresponding to the Jacobi matrix L + ¸M
- Takahiro Hasebe (Research Institute for Mathematical Sciences, Kyoto University) Semigroups related to additive and multiplicative, free and Boolean convolutions
- Fumio Hiai (Tohoku University) Jensen and Minkowski type inequalities for operator means (joint work with J.-C. Bourin)
- Samah Horrigue (University of Tunis El Manar) Quantum generalized fractional evolution equation
- Robin Hudson (Loughborough University) Quantum Lévy area
- Un Cig Ji (Chungbuk National University) Quantum Stochastic Calculus Associated with Quadratic Quantum White Noises
- Alina Kargol (Maria Curie-Skłodowska University, Lublin) Decay of Correlations in Ferromagnetic Quantum Models
- Yasuyuki Kawahigashi (University of Tokyo) N=2 superconformal field theory and noncommutative geometry
- Andrzej Komisarski (University of Łódz) On minimal number of measurements, which form an informationally complete system
- Anna Kula (Jagiellonian University, Kraków and Université de Franche-Comté, Besançon) Lévy Processes on compact quantum groups: from symmetries to derivation and beyond
- Bartosz Kwasniewski (University of Białystok) C*-algebras generalizing both Cuntz-Pimsner and Doplicher-Roberts algebras
- Seung-Hyeok Kye (Seoul National University) Product vectors and their partial conjugates
- Christian Le Merdy (Université de Franche-Comté, Besançon) Operators and their square functions on noncommutative Lp–spaces.
- Franz Lehner (Technische Universität Graz) Characterization Problems in Free Probability
- Romuald Lenczewski (Wrocław University of Technology) Matricial R-transform
- Andrzej Łuczak (University of Łódz) Cloning and broadcasting states
- Eugene Lytvynov (Swansea University) Meixner’s orthogonal polynomials in classical and non-commutative probability
- Ion Nechita (CNRS, Université de Toulouse) Block-modified Wishart matrices and applications to entanglement theory
- Maciej Nowak (Jagiellonian University, Kraków) Multiplication law and S transform for non-hermitian random matrices
- Nobuaki Obata (Tohoku University) Spectral analysis of Manhattan products of digraphs
- Janosch Ortmann (Warwick Mathematics Institute) Large Deviations for Noncrossing partitions and applications to free probability
- Adam Paszkiewicz (University of Łódz) On general form of quantum information - joint work with Tomasz Sobieszek
- Denes Petz (Budapest University of Technology and Economics) Some structures of finite dimensional Hilbert spaces (motivated by quantum theory)
- Michael Skeide (Universita degli Studi del Molise, Campobasso) Free Product Systems
- Piotr Sniady (Polish Academy of Sciences, Warsaw) Trajectories of jeu-detaquin (joint work with Dan Romik)
- Alexander Soshnikov (University of California, Davis) On fluctuation of matrix entries of regular functions of Wigner matrices and outliers in the spectrum of finite rank perturbations.
- Fedor Sukochev (University of New South Wales, Sydney) On the Rosenthal inequalities in noncommutative symmetric spaces
- Stanisław Woronowicz (University of Warsaw) Multiplicative unitary for the quantum double
- Janusz Wysoczanski (University ofWrocław) Introduction to generalized (anyon) statistics (joint work with M. Bozejko and E. Lytvynov)
- Quanhua Xu (Université de Franche-Comté, Besançon) Harmonic analysis on noncommutative tori
- Hiroaki Yoshida (Ochanomizu University, Tokyo) Integral representations of the relative free entropy associated with semicircular gradients
- László Zsido (Dipartimento di Matematica, Universita di Roma "Tor Vergata") Relative weakly mixing for non-commutative dynamical systems
Participants
Poland:
- Michał Adamczyk (University of Łódz)
- Paweł Barbarski (University of Gdansk)
- Marek Bozejko (University of Wrocław)
- Dariusz Chruscinski (Nicolaus Copernicus University, Torun)
- Jan Czajkowski (University of Wrocław)
- Agnieszka Czyzewska-Jankowska (University of Wrocław)
- Maciej Dołega (University of Wrocław)
- Wiktor Ejsmont (University of Wrocław)
- Tomasz Gogacz (University of Wrocław)
- Lech Jankowski (University of Wrocław)
- Paweł Józiak (University of Wrocław)
- Krzysztof Kaniowski (University of Łódz)
- Alina Kargol (Maria Curie-Skłodowska University, Lublin)
- Dorota Kepa (Maria Curie-Skłodowska University, Lublin)
- Katarzyna Klimczak (University of Łódz)
- Andrzej Komisarski (University of Łódz)
- Anna Krystek (University of Wrocław)
- Anna Kula (Jagiellonian University, Kraków and Université de Franche-Comté, Besançon)
- Bartosz Kwasniewski (University of Białystok)
- Romuald Lenczewski (Wrocław University of Technology)
- Katarzyna Lubnauer (University of Łódz)
- Andrzej Łuczak (University of Łódz)
- Michał Marcinkowski (University of Wrocław)
- Joanna Matysiak (Warsaw University of Technology)
- Wojciech Matysiak (Warsaw University of Technology)
- Jolanta Misiewicz (Warsaw University of Technology)
- Wojtek Młotkowski (University of Wrocław)
- Maciej Nowak (Jagiellonian University, Kraków)
- Jakub Olejnik (University of Łódz)
- Adam Osekowski (University of Warsaw)
- Adam Paszkiewicz (University of Łódz)
- Aleksander Pełczynski (University of Warsaw)
- Piotr Sniady (Polish Academy of Sciences, Warsaw)
- Tomasz Sobieszek (University of Łódz)
- Kamil Szpojankowski (Warsaw University of Technology)
- Sławomir Szuminski (University of Łódz)
- Tomasz Tylec (University of Gdansk)
- Franciszek Hugon Szafraniec (Jagiellonian University, Kraków)
- Jan Schneider (Wrocław)
- Łukasz Wojakowski (University of Wrocław)
- Stanisław Woronowicz with wife (University of Warsaw)
- Janusz Wysoczanski (University of Wrocław)
Germany
- Octavio Arizmendi (Universität des Saarlandes)
- Gero Fendler (University of Vienna)
- Andreas Gärtner (Technische Universität Darmstadt)
- Malte Gerhold (Ernst-Moritz-Arndt-Universität Greifswald)
- Joachim Cuntz (Mathematisches Institut Westfälische Wilhelms-Universität Münster)
- Maxim Derevyagin (Technical University of Berlin)
- Michael Leinert (Ruprecht-Karls-Universität Heidelberg)
- Thomas Löbbe (Bielefeld University)
- Carlos Vargas Obieta (Universität des Saarlandes)
- Anna Reshetenko (Bielefeld University)
- Kay Schwieger (Technische Universität Darmstadt)
- Roland Speicher (Universität des Saarlandes)
- Stefan Voß (Ernst-Moritz-Arndt-Universität Greifswald)
- Moritz Weber (Universität des Saarlandes)
France
- Helene Airault (Université de Picardie Jules Verne, Insset and LAMFA)
- Thierry Cabanal-Duvillard (Université René Descartes, Paris 5)
- Mirelle Capitaine (Institut de Mathématiques de Toulouse)
- Pierre Fima (Université Paris Diderot, Paris 7)
- Uwe Franz (Université de Franche-Comté, Besançon)
- Amaury Freslon (Université Paris Diderot, Paris 7)
- Mikael de la Salle (Université de Franche-Comté, Besançon)
- Christian Le Merdy (Université de Franche-Comté, Besançon)
- Ion Nechita (CNRS, Université de Toulouse)
- Quanhua Xu (Université de Franche-Comté, Besançon)
Japan
- Hiroshi Ando (University of Copenhagen and Kyoto University)
- Nobuhiro Asai (Aichi University of Education)
- Marie Choda (Osaka Kyoiku University)
- Takahiro Hasebe (Research Institute for Mathematical Sciences, Kyoto University)
- Fumio Hiai (Tohoku University)
- Yasuyuki Kawahigashi (University of Tokyo)
- Yasumichi Matsuzawa (Mathematisches Institut der Universität Leipzig)
- Naofumi Muraki (Iwate Prefectural University)
- Nobuaki Obata (Tohoku University)
- Hiroaki Yoshida (Ochanomizu University, Tokyo)
United Kingdom
- Michael Brannan (Queen’s University, Kingston)
- Matthew Brown (University of Nottingham)
- Robin Hudson (Loughborough University)
- Paul Jones (Loughborough University)
- Eugene Lytvynov (Swansea University)
- Janosch Ortmann (Warwick Mathematics Institute)
South Korea
- Un Cig Ji (Chungbuk National University)
- Seung-Hyeok Kye (Seoul National University)
Israel
- Daniel Alpay (Ben-Gurion University of the Negev)
- Alon Kipnis (Ben-Gurion University of the Negev)
Austria
- Franz Lehner (Technische Universität Graz)
- Christian Sattlecker (Technische Universität Graz)
Italy
- Michael Skeide (Universita degli Studi del Molise, Campobasso)
- László Zsido (Dipartimento di Matematica, Universita di Roma "Tor Vergata")
Canada
- Timothy Cioppa (University of Ottawa)
Portugal
- José Luis da Silva (University of Madeira)
Russian Federation
- Mikhail Gordin (Euler International Mathematical Institute, St. Petersburg)
Tunisia
- Samah Horrigue (University of Tunis El Manar)
Spain
- Jarosław Korbicz (Institut de Ciencies Fotoniques, Barcelona)
Hungary
- Denes Petz (Budapest University of Technology and Economics)
USA
- Alexander Soshnikov (University of California, Davis)
Australia
- Fedor Sukochev (University of New South Wales, Sydney)