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＜電子ブック＞
Geometric Methods in Physics XXXVII : Workshop and Summer School, Białowieża, Poland, 2018 / edited by Piotr Kielanowski, Anatol Odzijewicz, Emma Previato
(Trends in Mathematics. ISSN:2297024X)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2019
本文言語	英語
大きさ	XVIII, 260 p. 15 illus., 10 illus. in color : online resource
著者標目	Kielanowski, Piotr editor Odzijewicz, Anatol editor Previato, Emma editor SpringerLink (Online service)
件　名	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Group theory LCSH:Special functions LCSH:Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Group Theory and Generalizations FREE:Special Functions FREE:Geometry
一般注記	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 formsand their recent applications -- Lagrangian approach to Geometric Quantization 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 featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80th 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 Białowieża 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 HTTP:URL=https://doi.org/10.1007/978-3-030-34072-8

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