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Explore the intricacies of T-duality and generalized G_2 structures in this 56-minute lecture by Lino Grama from CAMPINAS. Delve into the construction of infinitesimal T-duality on nilmanifolds and its implications. Discover how T-duality can be applied to classical G_2-structures on seven-dimensional manifolds, both closed and co-closed, to obtain integrable generalized G_2-structures with non-zero three forms. Learn about the creation of manifolds with closed generalized G_2-structures that do not admit closed usual G_2-structures. This talk, presented at the University of Miami, is based on joint work with V. del Barco and L. Soriani, offering advanced insights into geometric structures and their transformations.