Titlebook: Geometric Methods in Physics XXXVIII; Workshop, Białowieża Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Conference proceedings 2020 Th

特征

On the bi-Hamiltonian Structure of the Trigonometric Spin Ruijsenaars–Sutherland HierarchyWe report on the trigonometric spin Ruijsenaars–Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion on the Lie group U(.). In particular, we give a direct proof of a previously stated result about the form of the second Poisson bracket in terms of convenient variables.

BORE

Maximal Surfaces on Two-Step Sub-Lorentzian StructuresWe describe sufficient maximality conditions for the classes of graph surfaces on two-step Carnot groups with sub-Lorentzian structure. In particular, we introduce a non-holonomic notion of variation of the area functional.

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One Step Degeneration of Trigonal Curves and Mixing of Solitons and Quasi-Periodic Solutions of the We consider certain degenerations of trigonal curves and hyperelliptic curves, which we call one step degeneration. We compute the limits of corresponding quasi-periodic solutions using the Sato Grassmannian. The mixing of solitons and quasi-periodic solutions is clearly visible in the obtained solutions.

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2297-0215 ature and Forest Museum and local traditions are interwoven with the scientific activities..The chapter “Toeplitz Extensions in Noncommutative Topology and Math978-3-030-53307-6978-3-030-53305-2Series ISSN 2297-0215 Series E-ISSN 2297-024X

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Quantum Differential Equations and Helices18, arXiv:1811.09235), and Cotti and Varchenko (Equivariant quantum differential equation and . equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem. In: Krichever, I., Novikov, S., Ogievetsky, O., Shlosman, S. (Eds.) Integrabilit

绕着哥哥问

Hermitian–Einstein Metrics from Non-commutative ,(1) Solutionstroduced in “Gravitational instantons from gauge theory” Yang and Salizzoni (Phys Rev Lett 201602, 2006 [hep-th/0512215]). This correspondence is valid not only for a commutative space but also for a noncommutative space. We choose . instantons on a noncommutative . as the self-dual two-form, from w

Scintigraphy

2-Hom-Associative Bialgebras and Hom-Left Symmetric Dialgebraslled .. Besides, we define and characterize the hom-associative dialgebras, hom-Leibniz algebra and hom-left symmetric dialgebras, and discuss their main relevant properties. Explicit examples are given to illustrate the developed formalism.

Occlusion

Laguerre–Gaussian Wave Propagation in Parabolic Mediaus media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomo

insular

Following the Trail of the Operator Geometric Meanr geometric mean in the positive cone of a unital ..-algebra. The story begins with the two-variable matrix geometric mean, moves to the .-variable matrix setting, then to the extension to the positive cone of the ..-algebra of operators on a Hilbert space, and even to general unital ..-algebras, an