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Geometric Methods in Physics XL

Workshop, Białowieża, Poland, 2023

  • Conference proceedings
  • © 2024

Overview

Editors:
  1. Piotr Kielanowski

    1. Departamento de Física, CINVESTAV, Ciudad de México, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  2. Daniel Beltita

    1. Institute of Mathematics, Romanian Academy, Bucharest, Romania

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    You can also search for this editor in PubMed   Google Scholar

  3. Alina Dobrogowska

    1. Faculty of Mathematics, University of Białystok, Białystok, Poland

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    You can also search for this editor in PubMed   Google Scholar

  4. Tomasz Goliński

    1. Faculty of Mathematics, University of Białystok, Białystok, Poland

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    You can also search for this editor in PubMed   Google Scholar

  • Provides an overview of cutting-edge research in integrable systems, quantum groups, and a variety of other areas
  • Offers insight into recent developments at the intersection of mathematics and physics
  • Collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics in July 2023

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

Included in the following conference series:

Conference proceedings info: WGMP 2022.

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About this book

This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Białowieża, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, integrable systems, quantum groups, Lie algebras and their generalizations and a wide variety of other areas. Specific topics include:

  • Yang-Baxter equation
  • The restricted Siegel disc and restricted Grassmannian
  • Geometric and deformation  quantization
  • Degenerate integrability
  • Lie algebroids and groupoids
  • Skew braces

Geometric Methods in Physics XL will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.

 

Keywords

Table of contents (32 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. 40 Years of the Workshop with Anatol Odzijewicz

    • Alina Dobrogowska, Tomasz Goliński, Aneta Sliżewska, Piotr Kielanowski
    Pages 1-8

  3. Wigner Medal 2023

    • Darlene Wiley-Bohm, Piotr Kielanowski, Wolfgang P. Schleich
    Pages 9-15

  4. Session in Memory of Anatol Odzijewicz

    1. Front Matter

      Pages 17-17
      Download chapter PDF

    2. On the Geometry of Coherent State Maps

      • Elisabetta Barletta, Sorin Dragomir, Francesco Esposito
      Pages 19-40

    3. Groupoid Techniques in Operator Theory

      • Daniel Beltiţă, Gabriel Larotonda
      Pages 41-48

    4. Integrable System on Partial Isometries: A Finite-Dimensional Picture

      • Tomasz Goliński, Alice Barbora Tumpach
      Pages 49-57

    5. The Restricted Siegel Disc as Coadjoint Orbit

      • François Gay-Balmaz, Tudor S. Ratiu, Alice B. Tumpach
      Pages 59-79

    6. Geometric Quantization (55 Years Later)

      • Jerzy Kijowski
      Pages 81-102

    7. Deformation of Functions by Star Product

      • Tsukasa Takeuchi, Naoko Yoshimi, Akira Yoshioka
      Pages 103-112

  5. Session: Facets of the Yang–Baxter Equation

    1. Front Matter

      Pages 113-113
      Download chapter PDF

    2. Special Normalised Affine Matrices: An Example of a Lie Affgebra

      • Tomasz Brzeziński
      Pages 115-125

    3. Twisted Araki-Woods Algebras, the Yang–Baxter Equation, and Quantum Field Theory

      • Gandalf Lechner
      Pages 127-144

    4. Skew Braces and the Braid Equation on Sets

      • Bernard Rybołowicz
      Pages 145-152

    5. Skew Braces: A Brief Survey

      • Leandro Vendramin
      Pages 153-175

  6. General Contributions on Geometric Methods in Physics

    1. Front Matter

      Pages 177-177
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    2. How Birefringence Arises from Nonlinear Electrodynamics

      • Alfonso S. Acevedo, Nora Breton
      Pages 179-188

    3. \(L^p\)-Cuntz Algebras and Spectrum of Weighted Composition Operators

      • Krzysztof Bardadyn
      Pages 189-198

    4. On Automorphisms of Complex \(b^k\)-Manifolds

      • Tatyana Barron, Michael Francis
      Pages 199-207

    5. Spherical Pedal Coordinates and Calculus of Variations

      • Petr Blaschke
      Pages 209-221
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Other volumes

  1. Geometric Methods in Physics XXXIX

  2. Geometric Methods in Physics XL

Editors and Affiliations

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

    Piotr Kielanowski

  • Institute of Mathematics, Romanian Academy, Bucharest, Romania

    Daniel Beltita

  • Faculty of Mathematics, University of Białystok, Białystok, Poland

    Alina Dobrogowska, Tomasz Goliński

About the editors


Bibliographic Information

  • Book Title: Geometric Methods in Physics XL

  • Book Subtitle: Workshop, Białowieża, Poland, 2023

  • Editors: Piotr Kielanowski, Daniel Beltita, Alina Dobrogowska, Tomasz Goliński

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-031-62407-0

  • 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 2024

  • Hardcover ISBN: 978-3-031-62406-3Published: 28 August 2024

  • Softcover ISBN: 978-3-031-62409-4Due: 11 September 2025

  • eBook ISBN: 978-3-031-62407-0Published: 27 August 2024

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: IX, 474

  • Number of Illustrations: 21 b/w illustrations, 36 illustrations in colour

  • Topics: Mathematical Physics, Group Theory and Generalizations, Geometry

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