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Explore the mathematical concept of swindling through this 47-minute conference talk delivered by Inna Zakharevich from Cornell University at the Fields Institute's Algebraic Topology and Homotopy Theory program. Delve into the intriguing mathematical phenomenon where seemingly paradoxical constructions reveal deep insights about infinite processes and their finite counterparts. Examine how the swindling technique, originally developed in the context of K-theory and algebraic topology, demonstrates how infinite objects can be manipulated to produce finite results that initially appear impossible. Learn about the theoretical foundations underlying these constructions and their applications in modern algebraic topology, gaining insight into how mathematicians use clever manipulations of infinite structures to resolve apparent contradictions and reveal hidden mathematical truths.