Groups, Invariants, Integrals, and Mathematical Physics - The Wisła 20-21 Winter School and Workshop (Hardcover, 1st ed. 2023)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Tutorials, Schools, and Workshops in the Mathematical Sciences
Release date:	June 2023
First published:	2023
Editors:	Maria Ulan • Stanislav Hronek
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	264
Edition:	1st ed. 2023
ISBN-13:	978-3-03-125665-3
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-03-125665-4
Barcode:	9783031256653

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