Birkhauser Geometric Methods in Physics XXXVIII: Workshop, Białowieża, Poland, 2019 (Trends in Mathematics)

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 The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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. From the Back Cover 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 The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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. About the Author Piotr Kielanowski is a Professor at the Center for Research and Advanced Studies at the National Polytechnic Institute in Mexico City. He received his Ph.D. from the University Warsaw, specializing in elementary particle theory. His research focuses on exact results in theoretical physics, particularly the phenomenology of the Standard Model and the rigged Hilbert space extension of quantum mechanics. He has co-authored a book on quantum mechanics, and published extensively in scientific journals. He climbed Popocatépetl when it was inactive, and when time permits, he visits his treasured Tatra Mountains in Poland. Anatol Odzijewicz holds a Ph.D. in Mathematical Physics from the University of Warsaw. He then joined the University of Białystok in Poland, where he is now a Professor at the Department of Mathematics. His research focuses on geometric methods of quantization and the theory of integrable systems with applications to classical and quantum optics, and he has published in leading mathematics and physics journals. In 1982, he began the series of Workshops on Geometric Methods in Physics, held annually each summer in Białowieża, Poland, which have become an important international gathering point for physi