Geometric Methods in Physics: XXXII Workshop, Białowieża, Poland, June 30-July 6, 2013

Description

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. Content: Front Matter....Pages i-ix Front Matter....Pages 1-2 Daniel Sternheimer....Pages 3-5 “The Important Thing is not to Stop Questioning”, Including the Symmetries on Which is Based the Standard Model....Pages 7-37 Bargmann–Fock Realization of the Noncommutative Torus....Pages 39-48 Berezin Transform and a Deformation Decomposition....Pages 49-56 Toeplitz Quantization without Measure or Inner Product....Pages 57-66 States in Deformation Quantization....Pages 67-76 Front Matter....Pages 77-77 Quantum Mechanics and Geometry on the Siegel–Jacobi Disk....Pages 79-88 Quantum Resonances: Theory and Models....Pages 89-98 Front Matter....Pages 99-118 Symplectic Dual Pair Related to Deformed