Geometric Methods in Physics XXXVII -

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Résumé :
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 Painlev? 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 Szeg? 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....

Sommaire:
The book consists of articles based on the XXXVII Bi?owie?a Workshop on Geometric Methods in Physics, 2018. The series of Bi?owie?a 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 featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80^th birthday. The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past seven years, the Bi?owie?a Workshops have been complemented by a School on Geometry and Physics comprising a series of advanced lectures for graduate students and early-career researchers. The book also includes abstracts of the five lecture series that were given at the seventh school....