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The Diverse World of PDEs: Geometry and Mathematical Physics
 
Edited by: I. S. Krasil′shchik Independent University of Moscow, Moscow, Russia
A. B. Sossinsky Independent University of Moscow, Moscow, Russia
A. M. Verbovetsky Independent University of Moscow, Moscow, Russia
Softcover ISBN:  978-1-4704-7147-7
Product Code:  CONM/788
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-7408-9
Product Code:  CONM/788.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7147-7
eBook: ISBN:  978-1-4704-7408-9
Product Code:  CONM/788.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
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The Diverse World of PDEs: Geometry and Mathematical Physics
Edited by: I. S. Krasil′shchik Independent University of Moscow, Moscow, Russia
A. B. Sossinsky Independent University of Moscow, Moscow, Russia
A. M. Verbovetsky Independent University of Moscow, Moscow, Russia
Softcover ISBN:  978-1-4704-7147-7
Product Code:  CONM/788
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-7408-9
Product Code:  CONM/788.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7147-7
eBook ISBN:  978-1-4704-7408-9
Product Code:  CONM/788.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7882023; 237 pp
    MSC: 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 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.

    Readership

    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.

  • 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 jet-bundles
    • 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 — Projective-geometric aspects of bi-Hamiltonian structures of KdV type
    • Valentin V. Lychagin — Measurement of random operators, jet geometry and high-order phase transitions
    • Gianni Manno, Jan Schumm and Andreas Vollmer — Metrics admitting projective and c-projective vector fields
    • Oleg I. Morozov — Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results
    • A. B. Sossinsky — Energy functionals and normal forms of knots and plane curves
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 7882023; 237 pp
MSC: 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 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.

Readership

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 jet-bundles
  • 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 — Projective-geometric aspects of bi-Hamiltonian structures of KdV type
  • Valentin V. Lychagin — Measurement of random operators, jet geometry and high-order phase transitions
  • Gianni Manno, Jan Schumm and Andreas Vollmer — Metrics admitting projective and c-projective vector fields
  • Oleg I. Morozov — Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results
  • A. B. Sossinsky — Energy functionals and normal forms of knots and plane curves
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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