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portada Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop
Type
Physical Book
Publisher
Author
Language
English
Pages
251
Format
Hardcover
Dimensions
23.4 x 15.6 x 1.6 cm
Weight
0.55 kg.
ISBN13
9783031256653
Categories

Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop

Ulan, Maria ; Hronek, Stanislav (Author) · Birkhauser · Hardcover

Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop - Ulan, Maria ; Hronek, Stanislav

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Synopsis "Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop"

This volume presents lectures given at the Wisla 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 fourIntegrability of fifth-order equations admitting a Lie symmetry algebraApplications of the van Kampen theorem for groupoids to computation of homotopy types of striped surfacesA geometric framework to compare classical systems of PDEs in the category of smooth manifoldsGroups, 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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