Springer International Publishing AG, 2018. — 280 p. — (Trends in Mathematics). — ISBN 331963593X.This book features a selection of articles based on the XXXV Bialowieza Workshop on Geometric Methods in Physics, 2016. The series of Bialowieza 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 The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics.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 Bialowieza 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. Contents In Memory of S. Twareque Ali Geometry & Physics Quasi-periodic Algebras and Their Physical Automorphisms Berezin Symbols on Lie Groups A Curious Differential Calculus on the Quantum Disc and Cones Nambu Mechanics: Symmetries and Conserved Quantities The Triple Reduced Product and Hamiltonian Flows The Puzzle of Empty Bottle in Quantum Theories 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 An Algebraic Background for Hierarchies of PDE in Dimension (2|1) Lagrangian Manifolds and Maslov Indices Corresponding to the Spectral Series of the Schrodinger Operators with Delta-potentials Electronic Properties of Graphene Nanoribbons in a Uniform Magnetic Field Formal Normal Forms for Germs of Vector Fields with Quadratic Leading Part. The Rational First Integral Case The Poncelet Theorems in Interpretation of Rafal Kolodziej Weighted Szeg˝o Kernels Integrability & Geometry On a Conjecture of Hong and Won Short-time Behavior of the Exciton-polariton Equations Periods of Mixed Tate Motives over Real Quadratic Number Rings Soliton Hierarchies from Matrix Loop Algebras On the Ground State Energy of the Delta-function Fermi Gas II: Further Asymptotics Non-periodic One-gap Potentials in Quantum Mechanics Abstracts of the Lectures at “School on Geometry and Physics” Integrable Geodesic Flows Anyonic Fock Spaces, q-CCR Relations for |q| = 1 and Relations with Yang–Baxter Operators Differential and Integral Forms on Non-commutative Algebras General Relativity Theory and Its Canonical Structure Exponential Formulae in Quantum Theories Complex Algebraic Geometry Applied to Integrable Dynamics: Concrete Examples and Open Problems Volumes of Classical Supermanifolds
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