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Explore the intricacies of syntomic complexes in this 46-minute conference talk delivered by Akhil Mathew from the University of Chicago and Clay Mathematics Institute. Delve into advanced mathematical concepts as part of the Conference on Homotopy Theory with Applications to Arithmetic and Geometry, held at the Fields Institute on June 28th, 2022. Gain insights into the intersection of homotopy theory, arithmetic, and geometry, expanding your understanding of these complex mathematical domains.