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Explore a comprehensive lecture from a three-part mini-course on Lie algebroids, focusing on their cohomology and ideal structures. Delve into fundamental concepts of Lie algebroids and their representations up to homotopy, examining twisted Lie algebroid cohomology and its homotopy invariance. Based on collaborative research with Rosa Marchesini, learn about the theoretical foundations that set up advanced discussions on Pontryagin characters and geometric reduction in subsequent lectures. As part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" at the Erwin Schrödinger International Institute, gain insights into cutting-edge mathematical research connecting representation theory, cohomology, and geometric structures.
