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Groups, Invariants, Integrals, and Mathematical Physics - The Wisła 20-21 Winter School and Workshop (Hardcover, 1st ed. 2023)
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Groups, Invariants, Integrals, and Mathematical Physics - The Wisła 20-21 Winter School and Workshop (Hardcover, 1st ed. 2023)
Series: Tutorials, Schools, and Workshops in the Mathematical Sciences
Expected to ship within 10 - 15 working days
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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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