Geometric Methods in Physics XXXVII Workshop and Summer School, Białowieża, Poland, 2018 /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Kielanowski, Piotr (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Odzijewicz, Anatol (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Previato, Emma (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Trends in Mathematics,
• Θέματα: Global analysis (Mathematics).; Manifolds (Mathematics).; Group theory.; Special functions.; Geometry.; Global Analysis and Analysis on Manifolds.; Group Theory and Generalizations.; Special Functions.

 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 The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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. 

 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 forms and their recent applications -- Lagrangian approach to Geometric Quantization.