Non-Commutative Harmonic Analysis

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:

  1. Free probability
  2. Random matrices
  3. Non-commutative harmonic analysis
  4. Classical and non-commutative Markov processes
  5. Generalized Brownian motions
  6. Various notions of independence
  7. Asymptotic spectral analysis of graphs
  8. Orthogonal polynomials
  9. 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

  1. 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
  2. Daniel Alpay (Ben-Gurion University of the Negev) Linear stochastic systems and a new class of commutative rings
  3. 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).
  4. Octavio Arizmendi (Universität des Saarlandes) On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws
  5. Nobuhiro Asai (Aichi University of Education) The Brenke type generating functions and orthogonal polynomials.
  6. Michael Brannan (Queen’s University, Kingston) Reduced von Neumann algebras of quantum permutation groups
  7. Matthew Brown (University of Nottingham) The Quantum Stochastic (QS) Duhamel Principle
  8. Mirelle Capitaine (Institut de Mathématiques de Toulouse) Free subordination property and deformed matricial models
  9. Marie Choda (Osaka Kyoiku University) Entropy for unital completely posive maps
  10. Dariusz Chruscinski (Nicolaus Copernicus University, Torun) Non-Markovian evolution of quantum systems
  11. Joachim Cuntz (Mathematisches Institut Westfälische Wilhelms-Universität Münster) The regular C¤-algebras of some semigroups from number theory
  12. José Luis da Silva (University of Madeira) Poisson grey noise in infinite dimensions
  13. Mikael de la Salle (Université de Franche-Comté, Besançon) Non-commutative Lp spaces without the operator space approximation property.
  14. Maxim Derevyagin (National Academy of Science of Ukraine) On the ¸-dynamics of the orthogonal polynomials corresponding to the Jacobi matrix L + ¸M
  15. Takahiro Hasebe (Research Institute for Mathematical Sciences, Kyoto University) Semigroups related to additive and multiplicative, free and Boolean convolutions
  16. Fumio Hiai (Tohoku University) Jensen and Minkowski type inequalities for operator means (joint work with J.-C. Bourin)
  17. Samah Horrigue (University of Tunis El Manar) Quantum generalized fractional evolution equation
  18. Robin Hudson (Loughborough University) Quantum Lévy area
  19. Un Cig Ji (Chungbuk National University) Quantum Stochastic Calculus Associated with Quadratic Quantum White Noises
  20. Alina Kargol (Maria Curie-Skłodowska University, Lublin) Decay of Correlations in Ferromagnetic Quantum Models
  21. Yasuyuki Kawahigashi (University of Tokyo) N=2 superconformal field theory and noncommutative geometry
  22. Andrzej Komisarski (University of Łódz) On minimal number of measurements, which form an informationally complete system
  23. Anna Kula (Jagiellonian University, Kraków and Université de Franche-Comté, Besançon) Lévy Processes on compact quantum groups: from symmetries to derivation and beyond
  24. Bartosz Kwasniewski (University of Białystok) C*-algebras generalizing both Cuntz-Pimsner and Doplicher-Roberts algebras
  25. Seung-Hyeok Kye (Seoul National University) Product vectors and their partial conjugates
  26. Christian Le Merdy (Université de Franche-Comté, Besançon) Operators and their square functions on noncommutative Lp–spaces.
  27. Franz Lehner (Technische Universität Graz) Characterization Problems in Free Probability
  28. Romuald Lenczewski (Wrocław University of Technology) Matricial R-transform
  29. Andrzej Łuczak (University of Łódz) Cloning and broadcasting states
  30. Eugene Lytvynov (Swansea University) Meixner’s orthogonal polynomials in classical and non-commutative probability
  31. Ion Nechita (CNRS, Université de Toulouse) Block-modified Wishart matrices and applications to entanglement theory
  32. Maciej Nowak (Jagiellonian University, Kraków) Multiplication law and S transform for non-hermitian random matrices
  33. Nobuaki Obata (Tohoku University) Spectral analysis of Manhattan products of digraphs
  34. Janosch Ortmann (Warwick Mathematics Institute) Large Deviations for Noncrossing partitions and applications to free probability
  35. Adam Paszkiewicz (University of Łódz) On general form of quantum information - joint work with Tomasz Sobieszek
  36. Denes Petz (Budapest University of Technology and Economics) Some structures of finite dimensional Hilbert spaces (motivated by quantum theory)
  37. Michael Skeide (Universita degli Studi del Molise, Campobasso) Free Product Systems
  38. Piotr Sniady (Polish Academy of Sciences, Warsaw) Trajectories of jeu-detaquin (joint work with Dan Romik)
  39. 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.
  40. Fedor Sukochev (University of New South Wales, Sydney) On the Rosenthal inequalities in noncommutative symmetric spaces
  41. Stanisław Woronowicz (University of Warsaw) Multiplicative unitary for the quantum double
  42. Janusz Wysoczanski (University ofWrocław) Introduction to generalized (anyon) statistics (joint work with M. Bozejko and E. Lytvynov)
  43. Quanhua Xu (Université de Franche-Comté, Besançon) Harmonic analysis on noncommutative tori
  44. Hiroaki Yoshida (Ochanomizu University, Tokyo) Integral representations of the relative free entropy associated with semicircular gradients
  45. 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)