Geometric Methods in Physics XXXVII

Geometric Methods in Physics XXXVII

Workshop and Summer School, Bialowieza, Poland, 2018

Odzijewicz, Anatol; Previato, Emma; Kielanowski, Piotr

Springer Nature Switzerland AG

11/2020

260

Mole

Inglês

9783030340742

15 a 20 dias

454

Descrição não disponível.
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 Painleve 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 Szegoe 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 formsand their recent applications.- Lagrangian approach to Geometric Quantization.
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mathematical physics;integrable systems;quantization;Lie groupoids and algebroids;integral operators