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Explore a comprehensive lecture on "Degenerate automorphic forms and Euler systems" (Part I) delivered by Chris Skinner as part of the "Automorphic Forms and the Bloch–Kato Conjecture" program at the International Centre for Theoretical Sciences. This nearly two-hour presentation delves into the connections between automorphic forms and the arithmetic of special values of L-functions, a central problem in number theory. Learn about the mathematical frameworks that help understand the arithmetic nature of special values of complex L-functions associated with algebraic varieties, motives, or automorphic representations over global fields. The lecture is part of a broader program organized by Ashay Burungale, Haruzo Hida, Somnath Jha, and Ye Tian, which examines recent developments in the field, including connections to the Birch and Swinnerton-Dyer conjecture and the Bloch-Kato conjecture.
