Editors:
Overview of the recent state of the interaction of geometry with modern physics
Discussion of the contributions of Daniel Sternheimer to deformation quantization
Contributions of leading scientists in the field
Discussion of topics in physics in a mathematically precise way
Part of the book series: Trends in Mathematics (TM)
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Table of contents (25 papers)
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Front Matter
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Deformation, Quantization: Scientific Landmarks of Daniel Sternheimer
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Front Matter
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Groups and Non-commutative Structures
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Front Matter
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Differential Equations and Special Functions
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Front Matter
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About this book
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.
Keywords
- Daniel Sternheimer
- Poisson geometry
- integrable systems
- mathematical physics
- quantization
- quantum systems
Editors and Affiliations
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Departamento de Física, CINVESTAV, Mexico City, Mexico
Piotr Kielanowski
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Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium
Pierre Bieliavsky
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Department of Mathematics - MC J415, Brock University, St. Catharines, Canada
Alexander Odesskii
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Institute of Mathematics, University of Bialystok, Bialystok, Poland
Anatol Odzijewicz
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Mathematics Research Unit, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg
Martin Schlichenmaier
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University of Manchester, Manchester, UK
Theodore Voronov
Bibliographic Information
Book Title: Geometric Methods in Physics
Book Subtitle: XXXII Workshop, Białowieża, Poland, June 30-July 6, 2013
Editors: Piotr Kielanowski, Pierre Bieliavsky, Alexander Odesskii, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-06248-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-06247-1Published: 02 September 2014
Softcover ISBN: 978-3-319-35282-4Published: 22 September 2016
eBook ISBN: 978-3-319-06248-8Published: 19 August 2014
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: IX, 290
Number of Illustrations: 22 b/w illustrations
Topics: Group Theory and Generalizations, Global Analysis and Analysis on Manifolds, Quantum Computing, History of Mathematical Sciences