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E-grāmata: Geometric Methods in Physics XL: Workshop, Bialowieza, Poland, 2023

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  • Formāts: PDF+DRM
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 27-Aug-2024
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783031624070
  • Formāts - PDF+DRM
  • Cena: 237,93 €*
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  • Formāts: PDF+DRM
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 27-Aug-2024
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783031624070

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This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Biaowiea, 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.





 
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 ArakiWoods Algebras, the YangBaxter 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.-
HermitePadé 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 PDEs.- Discrete
mechanics in non-uniform time -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.