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Explore the intricacies of local structures in Z-graded Q-manifolds through this 36-minute lecture by Camille Laurent-Gengoux from Université de Lorraine's Institut ELie Cartan de Lorraine. Delivered as part of the Workshop on Supergeometry and Bracket Structures in Mathematics and Physics at the Fields Institute, delve into advanced mathematical concepts at the intersection of supergeometry and physics.