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Explore the concept of T-duality with fixed points in this 1-hour 4-minute lecture by Aldo Witte from Utrecht University. Delve into the mathematical framework of T-duality as a symmetry between principal torus bundles and its application in transporting geometric structures. Learn about the limitations of existing theory in incorporating torus actions with fixed points and discover a new approach using elliptic tangent bundles, a class of Lie algebroids. Gain insights into novel examples of T-dual generalized complex structures resulting from this research, conducted in collaboration with Gil Cavalcanti.