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Learn about the mathematical properties of amplituhedra and their tilings in this 46-minute conference talk from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference at Harvard CMSA. Explore how all tilings of the m=2 amplituhedron share the same cardinality, known as "the magic number," which proves a special case of a broader conjecture about even-m amplituhedra. Delve into the mathematical foundations as Weizmann Institute of Science's Ran Tessler presents joint research with Parisi, Sherman-Bennett and Williams, examining related results and implications of this discovery in positive geometry.
