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Explore a detailed lecture on divisibility in the context of the Anticyclotomic Main Conjecture for CM fields in this first installment by Jacques Tilouine, presented at the International Centre for Theoretical Sciences. This lecture is part of the "Automorphic Forms and the Bloch–Kato Conjecture" program organized by Ashay Burungale, Haruzo Hida, Somnath Jha, and Ye Tian. The program examines recent developments connecting automorphic forms with the arithmetic of special values of L-functions, addressing a central problem in number theory: understanding the arithmetic nature of special values of complex L-functions associated with algebraic varieties, motives, or automorphic representations over global fields, and connecting these values to orders of algebraic structures like Chow groups or Selmer groups. The lecture provides insights into how automorphic forms contribute to studying L-values and their foundational role in mathematical progress.
