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Explore a 49-minute lecture from the Fields Institute's "Cyclic Cohomology at 40" conference, where Emil Prodan of Yeshiva University delves into the fascinating world of cyclic cocycles over Sobolev domains and their profound implications for material science. Discover how this advanced mathematical concept intersects with practical applications, potentially revolutionizing our understanding of materials and their properties. Gain insights into the cutting-edge research that bridges abstract mathematics and real-world scientific advancements.