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商品詳細
Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop. 2023 ed.
・ISBN 978-3-031-25668-4 paper EUR 129.99
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| 著者・編者 | Ulan, Maria / Hronek, Stanislav (eds.), |
|---|---|
| シリーズ | (Tutorials, Schools, and Workshops in the Mathematical Sciences) |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2024 |
| ページ数 | 251 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A03-54276＞ |
解説
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-Ampere 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.