Spherical T-Duality Meets Exotic Spheres and Homotopy Hopf Manifolds

Explore the concept of Spherical T-duality and its relationship with exotic spheres and homotopy Hopf manifolds in this 45-minute lecture. Delve into the generalization of classical T-duality, comparing the roles of the circle group U(1) and the special unitary group SU(2). Examine how 7-dimensional homotopy spheres fit into the context of spherical T-duality, focusing on examples involving Σ^7 × S^1. Investigate the unique properties of complex structures on these manifolds and their behavior under T-duality. Learn about the collaborative research findings of Lino Grama, Leonardo Cavenaghi, and Ludmil Katzarkov, offering insights into advanced topics in algebraic topology and differential geometry.