Geometric Methods in Physics XXXVIII: Workshop, Bialowieża, Poland, 2019

Part I: Contributions to theXXXVIII Workshop.- Toeplitz extensions in noncommutative topology and mathematical physics.- Standard groupoids of von Neumann algebras.- Quantum differential equations and helices.- Periodic one-point rank one commuting difference operators.- On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars-Sutherland hierarchy.- Hermitian-Einstein metrics from non commutative U(1) solutions.- 2-hom-associative bialgebras and hom-left symmetric dialgebras.- Laguerre-Gaussian wave propagation in parabolic media.- Maximal Surfaces on Two-Step Sub-Lorentzian Structures.- Following the Trail of the Operator Geometric Mean.- On Hom-Lie-Rinehart algebras.- One Step Degeneration of Trigonal Curves and Mixing of Solitons and Quasi-Periodic Solutions of the KP Equation.- Fock Quantization of Canonical Transformations and Semiclassical Asymptotics for Degenerate Problems.- Some recent results on contact or point supported potentials.- 2D Yang-Mills theory and tau functions.- Many-particle Schr霺dinger type finitely factorized quantum Hamiltonian systems and their integrability.- Quantum master equation for the time-periodic density operator of a single qubit coupled to a harmonic oscillator.- On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms.- Toeplitz Quantization of an Analogue of the Manin Plane.- The Weyl-Wigner-Moyal formalism on a discrete phase space.- Algebraic geometric properties of spectral surfaces of quantum integrable systems and their isospectral deformations.- Part II: Abstracts of the Lectures at "School on Geometry and Physics.- Soliton equations and their holomorphic solutions.- Diffeomorphism Groups in Quantum Theory and Statistical Physics.- Position-dependent mass systems: Classical and quantum pictures.- Introduction to the algebraic Bethe ansatz.- Noncommutative Fiber Bundles.