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| Softcover ISBN: | 978-1-4704-7355-6 |
| Product Code: | CONM/789 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-7409-6 |
| Product Code: | CONM/789.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-7355-6 |
| eBook ISBN: | 978-1-4704-7409-6 |
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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 computer-based 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.
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Table of Contents
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Articles
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Luca Amata and Francesco Oliveri — Automatic determination of optimal systems of Lie subalgebras: The package SymboLie
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Orest D. Artemovych, Denis L. Blackmore, Radosław A. Kycia and Anatolij K. Prykarpatski — New Dubrovin-type integrability theory applications of differential rings
-
I. A. Bobrova and V. V. Sokolov — Non-abelian 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 — Non-linear 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
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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
-
Jean-Pierre Magnot, Enrique G. Reyes and Vladimir Rubtsov — Frölicher structures, diffieties, and a formal KP hierarchy
-
G. Sharygin — Quasi-derivations on $U\mathfrak {gl}_n$ and the argument shift method
-
Piergiulio Tempesta and Giorgio Tondo — Polarization of generalized Nijenhuis torsions
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
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 Dubrovin-type integrability theory applications of differential rings
-
I. A. Bobrova and V. V. Sokolov — Non-abelian 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 — Non-linear 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
-
Jean-Pierre Magnot, Enrique G. Reyes and Vladimir Rubtsov — Frölicher structures, diffieties, and a formal KP hierarchy
-
G. Sharygin — Quasi-derivations on $U\mathfrak {gl}_n$ and the argument shift method
-
Piergiulio Tempesta and Giorgio Tondo — Polarization of generalized Nijenhuis torsions
