Geometric Methods in Physics XL : Workshop, Białowieża, Poland, 2023 / edited by Piotr Kielanowski, Daniel Beltita, Alina Dobrogowska, Tomasz Goliński.

Format:

Book

Contributor:

Kielanowski, Piotr, editor.

Series:

Trends in Mathematics, 2297-024X

Language:

English

Subjects (All):

Mathematical physics.

Group theory.

Geometry.

Mathematical Physics.

Group Theory and Generalizations.

Local Subjects:

Mathematical Physics.

Group Theory and Generalizations.

Geometry.

Physical Description:

1 online resource (465 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.

Summary:

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.

Contents:

Preface

40 years of the Workshop with Anatol Odzijewicz

Wigner Medal 2023

Part I. Session in memory of Anatol Odzijewicz

On the geometry of coherent state maps

Groupoid techniques in operator theory

Integrable system on partial isometries: a finite dimensional picture

The restricted Siegel disc as coadjoint orbit

Geometric quantization (55 years later)

Deformation of Functions by Star Product

Part II. Session: Facets of the Yang-Baxter Equation

Special normalised affine matrices. An example of a Lie affgebra

Twisted Araki–Woods Algebras, the Yang–Baxter Equation, and quantum field theory

Skew braces and the braid equation on sets

Skew braces: a brief survey

Part III. General contributions on geometric methods in physics

How birefringence arises from nonlinear electrodynamics

Lp-Cuntz algebras and spectrum of weighted composition operators

On Automorphisms of Complex bk-Manifolds

Spherical pedal coordinates and calculus of variations

Higher order curvature corrections in the Raychaudhuri equation

Yangians as pre-Lie and tridendriform algebras

Hermite–Padé approximation, multiple orthogonal polynomials, and multidimensional Toda equations

“The six blind men and the elephant”: An interdisciplinary selection of measurement features

Notes on the degenerate integrability of reduced systems obtained from the master systems of free motion on cotangent bundles of compact Lie groups

A quadric of kinetic energy in the role of phase diagrams – application to the Belinski-Khalatnikov-Lifshitz scenario

Hamiltonian structure of isomonodromic deformation dynamics in linear systems of PDE’s

Discrete mechanics in non-uniform time α-lattices

Quantum Derivation and Mishchenko-Fomenko Construction

The Milgromian acceleration of MOND and the cosmological constant from precanonical quantum gravity

A note on three collinear point charges

Conceptual Problems in Quantum Squeezing

Lie Symmetry Analysis of the Charney- Hasegawa-Mima equation

Stability Theorem for Zn2-Lie supergroups

The Courant type algebroids, the coadjoint orbits and related integrable flows

Part IV. Abstract of a Lecture at “XII School on Geometry and Physics”

Kronecker webs and nonlinear PDEs

Index.

Notes:

Includes index.

ISBN:

3-031-62407-6