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  • © 2020

Geometric Methods in Physics XXXVIII

Workshop, Białowieża, Poland, 2019

Birkhäuser

Part of the book series: Trends in Mathematics (TM)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-xi
  2. Contributions to the XXXVIII Workshop

    1. Front Matter

      Pages 1-1
    2. Toeplitz Extensions in Noncommutative Topology and Mathematical Physics

      • Francesca Arici, Bram Mesland
      Pages 3-29Open Access
    3. Standard Groupoids of von Neumann Algebras

      • Daniel Beltiţă, Anatol Odzijewicz
      Pages 31-39
    4. Quantum Differential Equations and Helices

      • Giordano Cotti
      Pages 41-65
    5. Periodic One-Point Rank One Commuting Difference Operators

      • Alina Dobrogowska, Andrey E. Mironov
      Pages 67-74
    6. 2-Hom-Associative Bialgebras and Hom-Left Symmetric Dialgebras

      • Mahouton Norbert Hounkonnou, Gbêvèwou Damien Houndédji
      Pages 97-115
    7. Laguerre–Gaussian Wave Propagation in Parabolic Media

      • S. Cruz y Cruz, Z. Gress, P. Jiménez-Macías, O. Rosas-Ortiz
      Pages 117-128
    8. Following the Trail of the Operator Geometric Mean

      • Jimmie D. Lawson, Yongdo Lim
      Pages 143-153
    9. On Hom-Lie–Rinehart Algebras

      • Ashis Mandal, Satyendra Kumar Mishra
      Pages 155-161
    10. Some Recent Results on Contact or Point Supported Potentials

      • L. M. Nieto, M. Gadella, J. Mateos-Guilarte, J. M. Muñoz-Castañeda, C. Romaniega
      Pages 197-219
    11. 2D Yang–Mills Theory and Tau Functions

      • Aleksandr Yu. Orlov
      Pages 221-250

About this book

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 The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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.

Editors and Affiliations

  • Departamento de Física, CINVESTAV, Ciudad de México, Mexico

    Piotr Kielanowski

  • Institute of Mathematics, University of Białystok, Białystok, Poland

    Anatol Odzijewicz

  • Department of Mathematics and Statistics, Boston University, Boston, USA

    Emma Previato

About the editors

​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 physicists and mathematicians. He was also a founder of the Open-Air Museum of Wooden Architecture in Białowieża, which illustrates the historical daily lives of Russian people in the Podlaskie region.


Emma Previato is a Fellow of the American Mathematical Society (inaugural class 2012) and a Professor of Mathematics at Boston University, USA. Previato earned her Ph.D. in Mathematics from Harvard University, with a dissertation on integrable PDEs based on classical algebraic geometry and special functions. Her research has been published in over 80 journal articles, and includes methods of algebraic geometry, differential algebra, Hamiltonian mechanics, PDEs, and information theory. She is the(co-)editor of five books.

Bibliographic Information

  • Book Title: Geometric Methods in Physics XXXVIII

  • Book Subtitle: Workshop, Białowieża, Poland, 2019

  • Editors: Piotr Kielanowski, Anatol Odzijewicz, Emma Previato

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-53305-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-53304-5Published: 28 October 2020

  • Softcover ISBN: 978-3-030-53307-6Published: 28 October 2021

  • eBook ISBN: 978-3-030-53305-2Published: 27 October 2020

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XI, 381

  • Number of Illustrations: 28 b/w illustrations, 11 illustrations in colour

  • Topics: Global Analysis and Analysis on Manifolds, Group Theory and Generalizations, Special Functions, Geometry

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access