By Piotr Kielanowski, Pierre Bieliavsky, Alexander Odesskii, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov
The Białowieża Workshops on Geometric tools in Physics, that are hosted within the distinctive environment of the Białowieża average wooded area in Poland, are one of the most vital conferences within the box. each year a few eighty to a hundred contributors from either the maths and physics global sign up for to debate new advancements and to interchange rules. the present quantity used to be produced at the get together of the 32nd assembly in 2013. it's now turning into a practice that the Workshop is by means of a college on Geometry and Physics, which is composed of complicated lectures for graduate scholars and younger researchers. chosen audio system on the 2013 Workshop have been requested to give a contribution to this e-book, and their paintings was once supplemented via extra assessment articles. the choice exhibits that, regardless of its now lengthy culture, the workshop continues to be on the leading edge of study. The 2013 Workshop additionally celebrated the 75th birthday of Daniel Sternheimer, and in this social gathering the dialogue almost always fascinated by his contributions to mathematical physics akin to deformation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry.
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Extra resources for Geometric Methods in Physics: XXXII Workshop, Białowieża, Poland, June 30-July 6, 2013
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Questioning the Standard Model with the Deformation Philosophy 35  M. Flato and D. Sternheimer, Local representations and mass-spectrum, Phys. Rev. Letters 16 (1966), 1185–1186.  M. Flato and D. Sternheimer, Nonuniqueness of Mass-Formulas from InﬁniteDimensional Groups and Algebras, Phys. Rev. Letters 19 (1967), 254–255.  M. Flato and D. Sternheimer, Poincar´e partially integrable local representations and mass-spectrum, Comm. Math. Phys. 12 (1969), 296–303.  M. Flato and D. Sternheimer, On an inﬁnite-dimensional group, Comm.
We deduce from this a realization of the non-commutative torus as acting on a Fock space of entire functions. Mathematics Subject Classiﬁcation (2010). 22E27, 53D35, 58B34. Keywords. Non-commutative torus, Bargmann transform, Heisenberg group, Fock space, deformation quantization, noncommutative geometry, Heisenberg group, Bargmann–Segal transform. 1. Introduction For systems of ﬁnite degrees of freedom, there are two main quantization procedures, the others being variants of them. , ). , ).