05341nam a22005775i 4500 978-3-031-62407-0 DE-He213 20251030112913.0 cr nn 008mamaa 240827s2024 sz | s |||| 0|eng d 9783031624070 978-3-031-62407-0 10.1007/978-3-031-62407-0 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Geometric Methods in Physics XL [electronic resource] : Workshop, Białowieża, Poland, 2023 / edited by Piotr Kielanowski, Daniel Beltita, Alina Dobrogowska, Tomasz Goliński. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. IX, 474 p. 57 illus., 36 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Trends in Mathematics, 2297-024X 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. 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. Mathematical physics. Group theory. 70149 Geometry. 68763 Mathematical Physics. Group Theory and Generalizations. 70154 Geometry. 68763 Kielanowski, Piotr. editor. edt http://id.loc.gov/vocabulary/relators/edt 82940 Beltita, Daniel. editor. edt http://id.loc.gov/vocabulary/relators/edt 82941 Dobrogowska, Alina. editor. edt http://id.loc.gov/vocabulary/relators/edt 82942 Goliński, Tomasz. editor. edt http://id.loc.gov/vocabulary/relators/edt 82943 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031624063 Printed edition: 9783031624087 Printed edition: 9783031624094 Trends in Mathematics, 2297-024X 71516 https://doi.org/10.1007/978-3-031-62407-0 ZDB-2-SMA ZDB-2-SXMS 62753 62753