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Explore the intricate connections between p-adic Shimura classes and Stark units in this advanced mathematical lecture delivered at the International Centre for Theoretical Sciences. Delve into sophisticated number-theoretic concepts as part of a comprehensive program on automorphic forms and the Bloch-Kato conjecture, examining how these mathematical structures relate to special values of L-functions and their arithmetic properties. Investigate the role of p-adic methods in understanding Shimura varieties and their associated cohomology classes, while analyzing the construction and properties of Stark units in algebraic number theory. Learn about recent developments in the field that bridge automorphic forms with arithmetic geometry, particularly focusing on how p-adic techniques illuminate the connections between these fundamental mathematical objects. Discover applications to the broader context of the Bloch-Kato conjecture and its implications for understanding the arithmetic nature of special L-values, building upon foundational work in algebraic number theory and automorphic representations.
