T-Duality and Generalized G_2 Structures

Explore the intricacies of T-duality and generalized G_2 structures in this 47-minute conference talk. Delve into the construction of infinitesimal T-duality on nilmanifolds and its implications. Examine 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. Discover how this process yields manifolds with closed generalized G_2-structures that do not admit closed usual G_2-structures. Learn about the joint research conducted with V. del Barco and L. Soriani, which introduces non-zero three-forms in the resulting structures.