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Groups, invariants, integrals, and mathematical physicsthe Wisla 20-21 Winter School and Workshop /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Groups, invariants, integrals, and mathematical physicsedited by Maria Ulan, Stanislav Hronek.
Reminder of title:	the Wisla 20-21 Winter School and Workshop /
other author:	Ulan, Maria.
corporate name:
Published:	Cham :Springer Nature Switzerland :2023.
Description:	1 online resource (xv, 251 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential algebraCongresses.
Online resource:	https://doi.org/10.1007/978-3-031-25666-0
ISBN:	9783031256660$q(electronic bk.)

Groups, invariants, integrals, and mathematical physicsthe Wisla 20-21 Winter School and Workshop /
Groups, invariants, integrals, and mathematical physicsthe Wisla 20-21 Winter School and Workshop /[electronic resource] :edited by Maria Ulan, Stanislav Hronek. - Cham :Springer Nature Switzerland :2023. - 1 online resource (xv, 251 p.) :ill., digital ;24 cm. - Tutorials, schools, and workshops in the mathematical sciences,2522-0977. - Tutorials, schools, and workshops in the mathematical sciences..

This volume presents lectures given at the Wisła 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-Ampère 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.

ISBN: 9783031256660$q(electronic bk.)

Standard No.: 10.1007/978-3-031-25666-0doiSubjects--Topical Terms:

877605
Differential algebra
--Congresses.

LC Class. No.: QA247.4

Dewey Class. No.: 512.56

Groups, invariants, integrals, and mathematical physicsthe Wisla 20-21 Winter School and Workshop /
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520 $a This volume presents lectures given at the Wisła 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-Ampère 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.
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