Lie Algebroid Cohomology and Ideals in Lie Algebroids - Part 2

Explore the second lecture in a three-part mini course series on Lie algebroid theory, focusing on Pontryagin characters of graded vector bundles and their finite rank applications. Delve into fundamental obstruction results related to representations up to homotopy on graded vector bundles, building upon the first lecture's foundation of Lie algebroids, their representations up to homotopy, and twisted Lie algebroid cohomology. Learn how this material connects to the broader series content, which culminates in examining ideals in Lie algebroids and their geometric reduction properties, developed through collaborative research with Rosa Marchesini, Thiago Drummond, and Cristian Ortiz.