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Explore Euler systems for conjugate-symplectic motives in this advanced mathematical lecture delivered by Daniel Disegni at the International Centre for Theoretical Sciences. Delve into the intricate connections between automorphic forms and the arithmetic nature of special values of L-functions, focusing specifically on how Euler systems apply to conjugate-symplectic motives. Examine the theoretical framework that underlies these mathematical structures and their role in understanding the Bloch-Kato conjecture, which proposes far-reaching generalizations of the Birch and Swinnerton-Dyer conjecture. Learn about recent developments in number theory that connect L-values to algebraic structures such as Chow groups and Selmer groups. Discover how automorphic forms serve as foundational tools for studying L-values and their arithmetic properties. Gain insights into the sophisticated mathematical techniques used to analyze special values of complex L-functions associated with algebraic varieties, motives, and automorphic representations over global fields. This presentation is part of the "Automorphic Forms and the Bloch–Kato Conjecture" program, which brings together leading researchers to discuss cutting-edge developments in this active area of mathematical research.
