Generalized Logarithmic Transformation in Exotic Spheres and Homotopy Hopf Manifolds

Explore a 45-minute lecture on advanced mathematical concepts presented by Leonardo Cavenaghi from UNICAMP at the University of Miami. Delve into the intricacies of $\star$-diagrams, examining their geometric and topological aspects. Discover how logarithmic transformations can be interpreted as a straightened angle procedure and learn about their generalization to higher dimensions. Investigate the application of a new type of logarithmic transformation in the context of spherical duality, revealing how some spherical T-duality can be realized. Gain insights into the collaborative research conducted with Lino Grama and Ludmil Katzarkov, focusing on generalized logarithmic transformations and their manifestations through exotic Spheres and Homotopy Hopf Manifolds.