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E-grāmata: Geometric Methods in Physics XXXVII: Workshop and Summer School, Bialowieza, Poland, 2018

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  • Formāts: PDF+DRM
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 26-Nov-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030340728
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Geometric Methods in Physics XXXVII: Workshop and Summer School, Bialowieza, Poland, 2018Palielināt
  • Formāts: PDF+DRM
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 26-Nov-2019
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030340728
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The book consists of articles based on the XXXVII  Biaowiea Workshop on Geometric Methods in Physics, 2018. The series of Biaowiea 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The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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 Biaowiea 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.
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 WittenDijkgraafVerlindeVerlinde
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.- HopfRinow 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.
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