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This book features a selection of articles based on the XXXV Białowieża Workshop on Geometric Methods in Physics, 2016. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field. Traditionally, the Białowieża Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career researchers, and the book also includes extended abstracts of the lecture series.

Geometric quantization --- Mathematical physics --- Mathematics. --- Group theory. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Special functions. --- Geometry. --- Physics. --- Global Analysis and Analysis on Manifolds. --- Mathematical Methods in Physics. --- Group Theory and Generalizations. --- Special Functions. --- Global analysis. --- Mathematical physics. --- Functions, special. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Physical mathematics --- Physics --- Special functions --- Mathematical analysis --- Mathematics --- Euclid's Elements --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic

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The book consists of articles based on the XXXVII Białowieża Workshop on Geometric Methods in Physics, 2018. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. This edition of the workshop featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80th birthday. The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past seven years, the Białowieża Workshops have been complemented by a School on Geometry and Physics comprising a series of advanced lectures for graduate students and early-career researchers. The book also includes abstracts of the five lecture series that were given at the seventh school.

Geometric quantization --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Group theory. --- Special functions. --- Geometry. --- Global Analysis and Analysis on Manifolds. --- Group Theory and Generalizations. --- Special Functions. --- Mathematics --- Euclid's Elements --- Special functions --- Mathematical analysis --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic

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This book collects papers based on the XXXVI Białowieża Workshop on Geometric Methods in Physics, 2017. The Workshop, which attracts a community of experts active at the crossroads of mathematics and physics, represents a major annual event in the field. Based on presentations given at the Workshop, the papers gathered here are previously unpublished, at the cutting edge of current research, and primarily grounded in geometry and analysis, with applications to classical and quantum physics. In addition, a Special Session was dedicated to S. Twareque Ali, a distinguished mathematical physicist at Concordia University, Montreal, who passed away in January 2016. For the past six years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising a series of advanced lectures for graduate students and early-career researchers. The extended abstracts of this year’s lecture series are also included here. The unique character of the Workshop-and-School series is due in part to the venue: a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in eastern Poland. Lectures are given in the Nature and Forest Museum, and local traditions are interwoven with the scientific activities.

Group theory --- Algebraic geometry --- Differential geometry. Global analysis --- Geometry --- Mathematics --- topologie (wiskunde) --- functies (wiskunde) --- statistiek --- wiskunde --- geometrie

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The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Group theory --- Algebraic geometry --- Differential geometry. Global analysis --- Geometry --- Mathematics --- functies (wiskunde) --- statistiek --- wiskunde --- geometrie

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Group theory --- Algebraic geometry --- Differential geometry. Global analysis --- Geometry --- Mathematics --- functies (wiskunde) --- statistiek --- wiskunde --- geometrie