Groups, Invariants, Integrals, and Mathematical Physics

Free Download Groups, Invariants, Integrals, and Mathematical Physics
English | 2023 | ISBN: 3031256654 | 263 Pages | PDF (True) | 7 MB
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: