Geometric Methods in Physics

XXXII Workshop, Białowieża, Poland, June 30-July 6, 2013

  • Piotr Kielanowski
  • Pierre Bieliavsky
  • Alexander Odesskii
  • Anatol Odzijewicz
  • Martin Schlichenmaier
  • Theodore Voronov
Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Deformation, Quantization: Scientific Landmarks of Daniel Sternheimer

    1. Front Matter
      Pages 1-2
    2. Pierre Bieliavsky, Martin Schlichenmaier
      Pages 3-5
    3. Nestor Anzola Kibamba, Pierre Bieliavsky
      Pages 39-48
    4. Vladimir F. Molchanov
      Pages 49-56
    5. Jaromir Tosiek
      Pages 67-76
  3. Quantum Mechanics

    1. Front Matter
      Pages 77-77
    2. Mahouton Norbert Hounkonnou, Dine Ousmane Samary
      Pages 79-88
    3. Manuel Gadella
      Pages 99-118
  4. Groups and Non-commutative Structures

    1. Front Matter
      Pages 119-119
    2. Alina Dobrogowska, Anatol Odzijewicz
      Pages 121-130
    3. Chiara Esposito
      Pages 131-142
    4. Anatol Odzijewicz, Aneta Sliżewska, Grzegorz Jakimowicz
      Pages 143-151
    5. Alexander Schmeding
      Pages 153-162
  5. Differential Equations and Special Functions

  6. General Methods

    1. Front Matter
      Pages 223-223
    2. Ondřej Kajínek, Goce Chadzitaskos, Lenka Háková
      Pages 225-232
    3. Steven Duplij, Gerald A. Goldin, Vladimir Shtelen
      Pages 233-242
    4. Lenka Háková, Jiří Hrivnák
      Pages 243-252
  7. Special Talks

    1. Front Matter
      Pages 279-279
    2. Bogdan Mielnik
      Pages 281-286
    3. Gijs M. Tuynman
      Pages 287-290

About these proceedings


The Białowieża Workshops on Geometric Methods in Physics, which are hosted in the unique setting of the Białowieża natural forest in Poland, are among the most important meetings in the field. Every year some 80 to 100 participants from both the mathematics and physics world join to discuss new developments and to exchange ideas. The current volume was produced on the occasion of the 32nd meeting in 2013. It is now becoming a tradition that the Workshop is followed by a School on Geometry and Physics, which consists of advanced lectures for graduate students and young researchers. Selected speakers at the 2013 Workshop were asked to contribute to this book, and their work was supplemented by additional review articles. The selection shows that, despite its now long tradition, the workshop remains at the cutting edge of research. The 2013 Workshop also celebrated the 75th birthday of Daniel Sternheimer, and on this occasion the discussion mainly focused on his contributions to mathematical physics such as deformation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry.


Daniel Sternheimer Poisson geometry integrable systems mathematical physics quantization quantum systems

Editors and affiliations

  • Piotr Kielanowski
    • 1
  • Pierre Bieliavsky
    • 2
  • Alexander Odesskii
    • 3
  • Anatol Odzijewicz
    • 4
  • Martin Schlichenmaier
    • 5
  • Theodore Voronov
    • 6
  1. 1.Departamento de FísicaCINVESTAVMexico CityMexico
  2. 2.Institut de Recherche en Mathématique et PhysiqueUniversité Catholique de LouvainLouvain-la-NeuveBelgium
  3. 3.Department of Mathematics - MC J415Brock UniversitySt. CatharinesCanada
  4. 4.Institute of MathematicsUniversity of BialystokBialystokPoland
  5. 5.Mathematics Research UnitUniversity of LuxembourgLuxembourg-KirchbergLuxembourg
  6. 6.University of ManchesterManchesterUK

Bibliographic information