The diverse world of PDEs : algebraic and cohomological aspects / I.S. Krasilʹshchik, 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)

Series:

Contemporary mathematics (American Mathematical Society) ; v.789.

Contemporary mathematics, 0271-4132 ; 789

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Differential equations, Nonlinear--Congresses.

Differential equations, Nonlinear.

Geometry, Differential--Congresses.

Geometry, Differential.

Homology theory--Congresses.

Homology theory.

Genre:

Conference papers and proceedings

Physical Description:

ix, 223 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 Independent University of Moscow and Moscow State University, Moscow, Russia. The papers reflect the modern interplay between partial differential equations and various aspects of algebra and computer science. The topics discussed are: relations between integrability and differential rings, supermanifolds, differential calculus over graded algebras, noncommutative generalizations of PDEs, quantum vector fields, generalized Nijenhuis torsion, cohomological approach to the geometry of differential equations, the argument shift method, Frölicher structures in the formal Kadomtsev-Petviashvili hierarchy, and computer-based determination of optimal systems of Lie subalgebras. The companion volume (Contemporary Mathematics, Volume 788) is devoted to Geometry and Mathematical Physics." -- Provided by publisher.

Contents:

Automatic Determination of Optimal Systems of Lie Subalgebras: the Package SymboLie / Luca Amata and Francesco Oliveri

New Dubrovin-type integrability theory applications of differential rings / Orest D. Artemovych, Denis L. Blackmore, Radosław A. Kycia and Anatolij K. Prykarpatski

Non-abelian Painlevé systems with generalized Okamoto integral / - I. A. Bobrova and V. V. Sokolov

Mathematical Etudes on Quantum Computation / Alexei Bocharov

Quantum vector fields via quantum doubles and their applications / Dimitry Gurevich and Pavel Saponov

Non-linear homomorphisms of algebras of functions are induced by thick morphisms / Hovhannes M. Khudaverdian

On the Buchstaber–Rees theory of “Frobenius n-homomorphisms” and its generalization / H. M. Khudaverdian and Th. Th. Voronov

Differential Calculus over Graded Commutative Algebras and Vector Bundles with Inner Structures / Jacob Kryczka

Vinogradov’s cohomological geometry of partial differential equations / Fabrizio Pugliese, Giovanni Sparano and Luca Vitagliano

Frölicher structures, diffieties, and a formal KP hierarchy Jean-Pierre Magnot, Enrique G. Reyes and Vladimir Rubtsov

Quasi-derivations on Ugln and the argument shift method / G. Sharygin

Polarization of generalized Nijenhuis torsions / Piergiulio Tempesta and Giorgio Tondo.

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:

9781470473556

1470473550

OCLC:

1386703938

Publisher Number:

90101709810