Geometric Methods in Physics XL

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 -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.