Colloquium | Lisa Piccirillo (UT Austin)

Title: Exotic phenomena in dimension 4

Abstract: In favorable circumstances, topological 4-manifolds can be classified. In contrast, smooth 4-manifolds remain poorly understood. Several hard questions in 4-manifold topology boil down to asking whether there can be distinct smooth manifolds with the same topological type; such manifolds are called exotic. In this talk, I will discuss a few methods to produce exotic manifolds, and comment on how these methods might be adapted towards addressing some of these questions.

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