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E-raamat: Geometric Methods in Physics XXXV: Workshop and Summer School, Bialowieza, Poland, June 26 - July 2, 2016

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  • Formaat: PDF+DRM
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 10-Feb-2018
  • Kirjastus: Birkhauser Verlag AG
  • Keel: eng
  • ISBN-13: 9783319635941
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  • Formaat: PDF+DRM
  • Sari: Trends in Mathematics
  • Ilmumisaeg: 10-Feb-2018
  • Kirjastus: Birkhauser Verlag AG
  • Keel: eng
  • ISBN-13: 9783319635941

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This book features a selection of articles based on the XXXV Biaowiea Workshop on Geometric Methods in Physics, 2016. 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. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session  "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field.





Traditionally, the Biaowiea Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career  researchers, and the book also includes extended abstracts of the lecture series.
Quasi-periodic algebras and their physical automorphisms.- Berezin
symbols on Lie groups.- A curious differential calculus on the quantum disc
and cones.- Differential and integral forms on non-commutative algebras.- On
a conjecture of Hong and Won.- Nambu mechanics: Symmetries and conserved
quantities.- In Memory of S. Twareque Ali.- Short-Time Behavior of the
Exciton-Polariton Equations.- Periods of Mixed Tate Motives over Real
Quadratic Number Rings.- The triple reduced product and Hamiltonian
flows.- Soliton Hierarchies from Matrix Loop Algebras.- Poisson transforms
for tensor products in compact picture.- Conformal symmetry breaking
operators for anti-de Sitter spaces.- Hamilton Operators and Related
Integrable Differential Algebraic Novikov-Leibniz
type Structures.- Lagrangian manifolds and Maslov indices corresponding to
the spectral series of the Schrödinger operators with
delta-potentials.- Electronic Properties of Graphene Nanoribbons in an
Uniform Magnetic Field.- Formal normal forms for germs of vector fields with
quadratic leading part. The rational first integral case.- The phase space
realisation of the Wentzel.- Kramers.- Brillouin approximation.- On the
Ground State Energy of the Delta-Function Fermi Gas II: Further
Asymptotics.- Weighted Szegö kernels.