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.
F. Ahangari, Geometric analysis of metric Legendre foliated cocycles on
contact manifolds via SODE structure
D. V. Alekseevsky, A. Marrani, and A. Spiro, Special Vinberg cones, invariant
admissible cubics and special real manifolds
A. Cap and J. Slovak, Bundles of Weyl structures and invariant calculus for
parabolic geometries
V. N. Chetverikov, Coverings and pseudosymmetries of differential equations
A. Duyunova, Differential invariants of inviscid flows in pipes
M. 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
J. Janyska and M. Modugno, Minimal coupling of gravitational and
electromagnetic fields in general relativity
P. Lorenzoni and R. Vitolo, Projective-geometric aspects of bi-Hamiltonian
structures of KdV type
V. Lychagin, Measurement of random operators, jet geometry and high-order
phase transitions
G. Manno, J. Schumm, and A. Vollmer, Metrics admitting projective and
c-projective vector fields
O. 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
I. S. Krasil'shchik, Independent University of Moscow, Russia.
A. B. Sossinsky, Independent University of Moscow, Russia.
A. M. Verbovetsky, Independent University of Moscow, Russia.
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