Geometric Methods in Physics XXXVII

Workshop and Summer School, Bia¿owie¿a, Poland, 2018
1. Auflage 2019
ISBN: 978-3-030-34074-2
Verlag: Birkhäuser

Buch, Englisch, 260 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 429 g

Reihe: Trends in Mathematics

The book consists of articles based on the XXXVII  Bialowieza Workshop on Geometric Methods in Physics, 2018. 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. This edition of the workshop featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80  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The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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 Bialowieza 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.

Zielgruppe

Research

Autoren/Hrsg.

Kielanowski, Piotr

Odzijewicz, Anatol

Previato, Emma

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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 < 8.- 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 formsand their recent applications.- Lagrangian approach to Geometric Quantization.