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Join mathematician Lisa Piccirillo for a 45-minute lecture exploring the mysterious world of exotic phenomena in dimension 4. Discover why smooth 4-manifolds remain poorly understood despite the possibility of classifying topological 4-manifolds under favorable conditions. Learn about exotic manifolds—distinct smooth (sub)manifolds that share the same topological type—and examine various methods for demonstrating these exotic phenomena. Gain insights into how these approaches might be adapted to address fundamental questions in 4-manifold topology. This Simons Foundation presentation delves into challenging mathematical concepts at the frontier of topology research.
