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

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Maria Ulan Stanislav Hronek

Groups, Invariants, Integrals, and Mathematical Physics

The Wisła 20-21 Winter School and Workshop

Maria Ulan, Stanislav Hronek

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English

Birkhauser Verlag AG
02 June 2023

Mathematical foundations; Groups & group theory; Calculus & mathematical analysis; Mathematical physics

Series: 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 systemsof 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.

Edited by: Maria Ulan, Stanislav Hronek
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 2023 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 571g
ISBN: 9783031256653
ISBN 10: 3031256654
Series: Tutorials, Schools, and Workshops in the Mathematical Sciences
Pages: 251
Publication Date: 02 June 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Lychagin, V., Roop, M., Differential Invariants in Algebra.- Rubtsov, V., Suchánek, R., Lectures on Poisson Algebras.- Suchánek,R., Some Remarks on Multisymplectic and Variational Nature of Monge-Ampère 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.