Geometric Methods in Physics XXXVII Workshop and Summer School, Białowieża, Poland, 2018 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kielanowski, Piotr (Editor, http://id.loc.gov/vocabulary/relators/edt), Odzijewicz, Anatol (Editor, http://id.loc.gov/vocabulary/relators/edt), Previato, Emma (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Trends in Mathematics,
• Subjects: Global analysis (Mathematics).; Manifolds (Mathematics).; Group theory.; Special functions.; Geometry.; Global Analysis and Analysis on Manifolds.; Group Theory and Generalizations.; Special Functions.

The book consists of articles based on the XXXVII Białowieża Workshop on Geometric Methods in Physics, 2018. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. This edition of the workshop featu...

Table of Contents:

• Preface
• In Memoriam Bogdan Mielnik
• Some aspects of the work of Daniel Sternheimer
• On canonical parametrization of phase spaces of Isomonodromic Deformation Equations
• On some deformations of the Poisson structure associated with the algebroid bracket of differential forms
• Generation of Painlevé V transcendents
• Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space
• Notes on integrable motion of two interacting curves and two-layer generalized Heisenberg ferromagnet equations
• About the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their Lie-algebraic and geometric properties
• 2+2-Moulton Configuration - rigid and flexible
• Melnikov functions in the rigid body dynamics
• E(2)-covariant integral quantization of the motion on the circle and its classical limit
• On Deformation Quantization using Super Twistorial Double Fibration
• Deformation Quantization of Commutative Families and Vector Fields
• Co-Toeplitz Quantization: A Simple Case
• On the quantum flag manifold SUq(3)/T2
• A Hopf algebra without a modular pair in involution
• Hopf-Rinow theorem in Grassmann manifolds of C∗-algebras
• Short geodesics for Ad invariant metrics in locally exponential Lie groups
• On Conjugacy of Subalgebras of Graph C∗-Algebras
• A Direct Proof for an Eigenvalue Problem by Counting Lagrangian Submanifolds
• Applications of the Fundamental Theorems of Projective and Affine Geometry in Physics
• Modeling the dynamics of a charged drop of a viscous liquid
• The orthogonal systems of functions on lattices of SU(n + 1), n < ∞
• The Super Orbit Challenge
• Weighted generalization of the Szegö kernel and how it can be used to prove general theorems of complex analysis
• Amenability, flatness and measure algebras
• Functional Analysis techniques in Optimization and Metrization problems
• Twistor Geometry and Gauge Fields
• Quantum Dirichlet forms and their recent applications
• Lagrangian approach to Geometric Quantization.