Geometric Methods in Physics: XXXI Workshop, Bialowieża, Poland, June 24-30, 2012

ISBN-13: 9783034807814 / Angielski / Miękka / 2015 / 237 str.

Piotr Kielanowski; S. Twareque Ali; Alexander Odesskii

Opis

This book presents a selection of papers based on the XXXIII Bia owie a Workshop on Geometric Methods in Physics, 2014. The Bia owie a Workshops are among the most important meetings in the field and attract researchers from both mathematics and physics. The articles gathered here are mathematically rigorous and have important physical implications, addressing the application of geometry in classical and quantum physics. Despite their long tradition, the workshops remain at the cutting edge of ongoing research. For the last several years, each Bia owie a Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented; some of the lectures are reproduced here. The unique atmosphere of the workshop and school is enhanced by its venue, framed by the natural beauty of the Bia owie a forest in eastern Poland.

The volume will be of interest to researchers and graduate students in mathematical physics, theoretical physics and mathematmtics."

Spis treści

Preface.- Part I: Quantization, the Scientific Legacy of B.V. Fedosov.- Part II: Groups, Algebras and Symmetries.- Part III: General Methods.

Blurb

The Białowieża workshops on Geometric Methods in Physics, taking place in the unique environment of the Białowieża natural forest in Poland, are among the important meetings in the field. Every year some 80 to 100 participants both from mathematics and physics join to discuss new developments and to interchange ideas. The current volume was produced on the occasion of the XXXI meeting in 2012. For the first time the workshop was followed by a School on Geometry and Physics, which consisted of advanced lectures for graduate students and young researchers. Selected speakers of the workshop were asked to contribute, and additional review articles were added. The selection shows that despite its now long tradition the workshop remains always at the cutting edge of ongoing research. The XXXI workshop had as a special topic the works of the late Boris Vasilievich Fedosov (1938–2011) who is best known for a simple and very natural construction of a deformation quantization for any symplectic manifold, and for his contributions to index theory.​