The diverse world of PDEs : geometry and mathematical physics : Alexandre Vinogradov Memorial Conference Diffieties, Cohomological Physics, and Other Animals, December 13-17, 2021, Independent University of Moscow and Moscow State University, Moscow, Russia / I.S. Krasil'shchik, A.B. Sossinsky, A.M. Verbovetsky, editors.

Format:

Book

Conference/Event

Contributor:

Krasilʹshchik, I. S. (Iosif Semenovich), editor.

Sosinskiĭ, A. B. (Alekseĭ Bronislavovich), editor.

Verbovetsky, Alexander, editor.

Vinogradov, A. M. (Aleksandr Mikhaĭlovich), honoree.

Conference Name:

Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals (2021 : Moscow, Russia), author.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 788.

Contemporary mathematics ; 788

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Differential equations, Nonlinear--Congresses.

Differential equations, Nonlinear.

Geometry, Differential--Congresses.

Geometry, Differential.

Mathematical physics--Congresses.

Mathematical physics.

Genre:

Conference papers and proceedings

Conference papers and proceedings.

Physical Description:

ix, 237 pages : illustrations ; 26 cm.

Place of Publication:

[Providence, Rhode Island] : American Mathematical Society, [2023]

Summary:

"This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13-17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia. The papers are devoted to various interrelations of nonlinear PDEs with geometry and integrable systems. The topics discussed are: gravitational and electromagnetic fields in General Relativity, nonlocal geometry of PDEs, Legendre foliated cocycles on contact manifolds, presymplectic gauge PDEs and Lagrangian BV formalism, jet geometry and high-order phase transitions, bi-Hamiltonian structures of KdV type, bundles of Weyl structures, Lax representations via twisted extensions of Lie algebras, energy functionals and normal forms of knots, and differential invariants of inviscid flows. The companion volume (Contemporary Mathematics, Volume 789) is devoted to Algebraic and Cohomological Aspects of PDEs." -- Provided by publisher.

Contents:

Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure / Fatemeh Áhangari

Special Vinberg cones, invariant admissible cubics and special real manifolds / Dmitri V. Alekseevsky, Alessio Marrani, and Spainand Andrea Spiro

Bundles of Weyl structures and invariant calculus for parabolic geometries / Andreas Cap and Jan Slovák

Coverings and pseudosymmetries of differential equations / Vladimir N. Chetverikov

Differential invariants of inviscid flows in pipes / Anna Duyunova

Presymplectic gauge PDEs and Langrangian BV formalism beyond jet-bundles / Maxim Grigoriev

Minimal realizations of the KP hierarchy, its strict version and their reductions / G.F. Helminck and E.A. Panasenko

Minimal coupling of gravitational and electromagnetic fields in general relativity / Josef Janyška and Marco Modugno

Projective-geometric aspects of bi-Hamiltonian structures of KdV type / Paolo Lorenzoni and Raffaele Vitolo

Measurement of random operators, jet geometry and high-order phase transitions / Valentin Lychagin

Metrics admitting projective and c-projective vector fields / Gianni Manno, Jan Schumm, and Andreas Vollmer

Lax representations via twisted extensions of infinite-dimensional Lie algebras : some new results / Oleg I. Morozov

Energy functionals and normal forms of knots and plane curves / A.B. Sossinsky.

Notes:

"Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, December 13--17, 2021, Independent Unversity of Moscow and Moscow State University, Moscow, Russia"-- title page.

Includes bibliographical references.

ISBN:

9781470471477

1470471477

OCLC:

1386703816

Publisher Number:

90101709389