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Groups, invariants, integrals, and mathematical physics [electronic resource] : the Wis?a 20-21 Winter School and Workshop / Maria Ulan, Stanislav Hronek, editors.

Wis?a (Winter School) (2020 : Online); Ulan, Maria.; Hronek, Stanislav.; Wis?a (Winter School) (2021 : Online)
2023
QA247.4
Available Online
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Title
Groups, invariants, integrals, and mathematical physics [electronic resource] : the Wis?a 20-21 Winter School and Workshop / Maria Ulan, Stanislav Hronek, editors.
Meeting Name
Wis?a (Winter School) (2020 : Online)
ISBN
9783031256660 (electronic bk.)
3031256662 (electronic bk.)
3031256654
9783031256653
DOI
https://doi.org/10.1007/978-3-031-25666-0
Published
Cham : Birkhũser, 2023.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-031-25666-0 doi
Call Number
QA247.4
Dewey Decimal Classification
512/.56
Summary
This volume presents lectures given at the Wisa 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics. The lectures were dedicated to differential invariants with a focus on Lie groups, pseudogroups, and their orbit spaces and Poisson structures in algebra and geometry and are included here as lecture notes comprising the first two chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and category theory. Specific topics covered include: The multisymplectic and variational nature of Monge-Ampre equations in dimension four Integrability of fifth-order equations admitting a Lie symmetry algebra Applications of the van Kampen theorem for groupoids to computation of homotopy types of striped surfaces A geometric framework to compare classical systems of PDEs in the category of smooth manifolds Groups, Invariants, Integrals, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry and category theory is assumed.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 14, 2023).
Added Author
Ulan, Maria.
Hronek, Stanislav.
Added Meeting Name
Wis?a (Winter School) (2021 : Online)
Series
Baltic Institute of Mathematics collection
Tutorials, schools, and workshops in the mathematical sciences.
Available in Other Form
Print version: 9783031256653
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
Lychagin, V., Roop, M., Differential Invariants in Algebra
Rubtsov, V., Suchnek, R., Lectures on Poisson Algebras
Suchnek,R., Some Remarks on Multisymplectic and Variational Nature of Monge-Ampre Equations in Dimension Four
Ruiz, A., Muriel, C., Generalized Solvable Structures Associated to Symmetry Algebras Isomorphic to $\mathfrak{gl}(2,\mathbb{R}) \ltimes \mathbb{R}$
Maksymenko, S., Nikitchenko, O., Fundamental Groupoids and Homotopy Types of Non-Compact Surfaces
Barth, L. S., A Geometric Framework to Compare Classical Field Theories.

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