Exotic Spheres and Singularities - Math Associates Seminar

Explore the fascinating connection between exotic spheres and singularity theory in this 48-minute Math Associates Seminar. Delve into the curious origins of Milnor's Fibration Theorem, tracing its roots from the discovery of exotic spheres to its pivotal role in singularity theory. Learn about Milnor's groundbreaking work on 7-manifolds and how subsequent research by mathematicians like Brieskorn, Jänich, Hirzebruch, and Pham led to the discovery of complex hypersurface singularities with exotic sphere links. Understand the motivation behind Milnor's investigation into the topology of complex hypersurface singularity links, culminating in his influential book "Singular points of complex hypersurfaces." Gain insights into the significance of Milnor's Fibration Theorem and its impact on the study of geometry and topology near critical points of analytic maps. This non-technical talk by José Cisneros-Molina from UNAM, Mexico, offers an engaging narrative of this intriguing mathematical journey.