This book features a selection of articles based on the XXXV Białowieża Workshop on Geometric Methods in Physics, 2016. 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. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics.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 Białowieża 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.
Зміст
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.
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