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Explore a Topos Institute Colloquium talk where Nathanael Arkor presents his journey to understanding polynomials, featuring a novel universal property of the double category of polynomials in a locally cartesian closed category. Discover how polynomials can be freed from the assumption of exponentiability entirely. The hour-long presentation, scheduled for April 3, 2025, is based on joint work with Bryce Clarke and offers a virtual double category theorist's perspective on this mathematical concept.