Geometric Methods in Physics XXXVII: Workshop and Summer School, Bialowieża, Poland, 2018

ISBN-13: 9783030340742 / Angielski / Miękka / 2020 / 260 str.

Piotr Kielanowski; Anatol Odzijewicz; Emma Previato

Spis treści

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.

Blurb

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 80^th 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.