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Softcover ISBN:  9781470473556 
Product Code:  CONM/789 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470474096 
Product Code:  CONM/789.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470473556 
eBook ISBN:  9781470474096 
Product Code:  CONM/789.B 
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Book DetailsContemporary MathematicsVolume: 789; 2023; 223 ppMSC: Primary 13; 14; 34; 35; 46; 53; 55; 58; 68; 81;
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 computerbased determination of optimal systems of Lie subalgebras.
The companion volume (Contemporary Mathematics, Volume 788) is devoted to Geometry and Mathematical Physics.ReadershipGraduate students and research mathematicians interested in the modern theory of partial differential equation in the wide context of commutative and noncommutative algebra and cohomology theories.

Table of Contents

Articles

Luca Amata and Francesco Oliveri  Automatic determination of optimal systems of Lie subalgebras: The package SymboLie

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

I. A. Bobrova and V. V. Sokolov  Nonabelian Painlevé systems with generalized Okamoto integral

Alexei Bocharov  Mathematical etudes on quantum computation

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

Hovhannes M. Khudaverdian  Nonlinear homomorphisms of algebras of functions are induced by thick morphisms

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

Jacob Kryczka  Differential calculus over graded commutative algebras and vector bundles with inner structures

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

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

G. Sharygin  Quasiderivations on $U\mathfrak {gl}_n$ and the argument shift method

Piergiulio Tempesta and Giorgio Tondo  Polarization of generalized Nijenhuis torsions


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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 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 computerbased determination of optimal systems of Lie subalgebras.
The companion volume (Contemporary Mathematics, Volume 788) is devoted to Geometry and Mathematical Physics.
Graduate students and research mathematicians interested in the modern theory of partial differential equation in the wide context of commutative and noncommutative algebra and cohomology theories.

Articles

Luca Amata and Francesco Oliveri  Automatic determination of optimal systems of Lie subalgebras: The package SymboLie

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

I. A. Bobrova and V. V. Sokolov  Nonabelian Painlevé systems with generalized Okamoto integral

Alexei Bocharov  Mathematical etudes on quantum computation

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

Hovhannes M. Khudaverdian  Nonlinear homomorphisms of algebras of functions are induced by thick morphisms

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

Jacob Kryczka  Differential calculus over graded commutative algebras and vector bundles with inner structures

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

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

G. Sharygin  Quasiderivations on $U\mathfrak {gl}_n$ and the argument shift method

Piergiulio Tempesta and Giorgio Tondo  Polarization of generalized Nijenhuis torsions