T-Duality and Generalized G_2 Structures

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.

Lino Grama, CAMPINAS: T-duality and generalized G_2 structures Pt 1