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Softcover ISBN:  9781470471477 
Product Code:  CONM/788 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/788.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9781470471477 
eBook ISBN:  9781470474089 
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Book DetailsContemporary MathematicsVolume: 788; 2023; 237 ppMSC: Primary 32; 35; 37; 47; 53; 58; 76; 82; 83;
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 highorder phase transitions, biHamiltonian 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.ReadershipGraduate students and research mathematicians interested in modern theory of partial differential equation and its relations with differential geometry, integrable systems, fluid mechanics, and field theory.

Table of Contents

Articles

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

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

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

Vladimir N. Chetverikov  Coverings and pseudosymmetries of differential equations

Anna Duyunova  Differential invariants of inviscid flows in pipes

Maxim Grigoriev  Presymplectic gauge PDEs and Lagrangian BV formalism beyond jetbundles

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

Josef Janyška and Marco Modugno  Minimal coupling of gravitational and electromagnetic fields in General Relativity

Paolo Lorenzoni and Raffaele Vitolo  Projectivegeometric aspects of biHamiltonian structures of KdV type

Valentin V. Lychagin  Measurement of random operators, jet geometry and highorder phase transitions

Gianni Manno, Jan Schumm and Andreas Vollmer  Metrics admitting projective and cprojective vector fields

Oleg I. Morozov  Lax representations via twisted extensions of infinitedimensional Lie algebras: some new results

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


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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 highorder phase transitions, biHamiltonian 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.
Graduate students and research mathematicians interested in modern theory of partial differential equation and its relations with differential geometry, integrable systems, fluid mechanics, and field theory.

Articles

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

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

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

Vladimir N. Chetverikov  Coverings and pseudosymmetries of differential equations

Anna Duyunova  Differential invariants of inviscid flows in pipes

Maxim Grigoriev  Presymplectic gauge PDEs and Lagrangian BV formalism beyond jetbundles

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

Josef Janyška and Marco Modugno  Minimal coupling of gravitational and electromagnetic fields in General Relativity

Paolo Lorenzoni and Raffaele Vitolo  Projectivegeometric aspects of biHamiltonian structures of KdV type

Valentin V. Lychagin  Measurement of random operators, jet geometry and highorder phase transitions

Gianni Manno, Jan Schumm and Andreas Vollmer  Metrics admitting projective and cprojective vector fields

Oleg I. Morozov  Lax representations via twisted extensions of infinitedimensional Lie algebras: some new results

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