This volume presents lectures given at the Wisla 20-21 Winter School and 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 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.

Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop (Tutorials, Schools, and Workshops in the Mathematical Sciences)

Groups, Invariants, Integrals, and Mathematical Physics: The Wisla 20-21 Winter School and Workshop (Tutorials, Schools, and Workshops in the Mathematical Sciences) PDF

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