A New Perspective on Exotic Manifolds - Spherical Duality and Torus Links

Offered By: IMSA via YouTube

Course Description

Overview

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Explore a groundbreaking lecture on exotic manifolds, focusing on Spherical Duality and Torus Links. Delve into the construction of homotopy spheres in dimension 7 supporting O(3)-actions and their connection to O(1)-actions on Brieskorn 3-spheres. Discover how these constructions relate to algebraic curves in P^2, offering new insights into exotic spheres and "homotopy Hopf manifolds." Examine the concept of spherical duality as a generalization of T-duality in mirror symmetry. Learn about ongoing research in this field, presented by Leonardo Cavenaghi from UNICAMP, in collaboration with Ludmil Katzarkov (UMiami) and Lino Grama (Unicamp).

Syllabus

Leonardo Cavenaghi, UNICAMP: A new perspective on exotic manifolds Spherical Duality and Torus Links

Taught by

IMSA

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