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Geometric Methods in Physics XXXVII: Workshop and Summer School, Białowieża, Poland, 2018 de Piotr Kielanowski

Geometric Methods in Physics XXXVII: Workshop and Summer School, Białowieża, Poland, 2018: Trends in Mathematics

Editat de Piotr Kielanowski, Anatol Odzijewicz, Emma Previato
en Limba Engleză Paperback – 27 noi 2020
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The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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.
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Specificații

ISBN-13: 9783030340742
ISBN-10: 3030340740
Pagini: 260
Ilustrații: XVIII, 260 p. 15 illus., 10 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.4 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Trends in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.