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Geometric Methods in Physics XXXVII

Workshop and Summer School, Białowieża, Poland, 2018

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Piotr Kielanowski

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

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  2. Anatol Odzijewicz

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

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    You can also search for this editor in PubMed   Google Scholar

  3. Emma Previato

    1. Department of Mathematics and Statistics, Boston University, Boston, USA

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (29 papers)

  1. Front Matter

    Pages i-xviii
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  2. Differential equations and integrable systems

    1. Front Matter

      Pages 1-1
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    2. On canonical parametrization of phase spaces of Isomonodromic Deformation Equations

      • Mikhail V. Babich
      Pages 3-12

    3. On some deformations of the Poisson structure associated with the algebroid bracket of differential forms

      • Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
      Pages 13-23

    4. Generation of Painlevé V transcendents

      • David Bermudez, David J. Fernández, Javier Negro
      Pages 24-33

    5. Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space

      • Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji
      Pages 34-48

    6. Notes on integrable motion of two interacting curves and two-layer generalized Heisenberg ferromagnet equations

      • Gulgassyl Nugmanova, Zhaidary Myrzakulova, Ratbay Myrzakulov
      Pages 49-56

    7. About the solutions to the Witten–Dijkgraaf– Verlinde–Verlinde associativity equations and their Lie-algebraic and geometric properties

      • Anatolij K. Prykarpatski
      Pages 57-67

    8. 2+2-Moulton Configuration – rigid and flexible

      • Naoko Yoshimi
      Pages 68-74

    9. Melnikov functions in the rigid body dynamics

      • Paweł Lubowiecki, Henryk Żołądek
      Pages 75-82

  3. Quantization

    1. Front Matter

      Pages 83-83
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    2. E(2)-covariant integral quantization of the motion on the circle and its classical limit

      • Rodrigo Fresneda, Jean Pierre Gazeau, Diego Noguera
      Pages 85-91

    3. On Deformation Quantization using Super Twistorial Double Fibration

      • Yuji Hirota, Naoya Miyazaki, Tadashi Taniguchi
      Pages 92-99

    4. Deformation Quantization of Commutative Families and Vector Fields

      • Georgiy I. Sharygin
      Pages 100-120

    5. Co-Toeplitz Quantization: A Simple Case

      • Stephen Bruce Sontz
      Pages 121-126

  4. Quantum groups and non-commutative geometry

    1. Front Matter

      Pages 127-127
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    2. On the quantum flag manifold SUq(3)/T2

      • Tomasz Brzeziński, Wojciech Szymański
      Pages 129-139

    3. A Hopf algebra without a modular pair in involution

      • Sebastian Halbig, Ulrich Krähmer
      Pages 140-142

  5. Infinite-dimensional geometry

    1. Front Matter

      Pages 143-143
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    2. Hopf–Rinow theorem in Grassmann manifolds of C*-algebras

      • Eduardo Chiumiento
      Pages 145-152
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Keywords

About this book

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.

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

Bibliographic Information

  • Book Title: Geometric Methods in Physics XXXVII

  • Book Subtitle: Workshop and Summer School, Białowieża, Poland, 2018

  • Editors: Piotr Kielanowski, Anatol Odzijewicz, Emma Previato

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-34072-8

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-34071-1Published: 27 November 2019

  • Softcover ISBN: 978-3-030-34074-2Published: 27 November 2020

  • eBook ISBN: 978-3-030-34072-8Published: 26 November 2019

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XVIII, 260

  • Number of Illustrations: 5 b/w illustrations, 10 illustrations in colour

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

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