Degenerate Automorphic Forms and Euler Systems - Lecture 4

Explore advanced concepts in degenerate automorphic forms and Euler systems in this fourth lecture delivered by Marco Sangiovanni Vincentelli 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 as part of the comprehensive program on "Automorphic Forms and the Bloch–Kato Conjecture." Examine how these mathematical structures relate to fundamental problems in number theory, including understanding the arithmetic properties of complex L-functions associated with algebraic varieties, motives, and automorphic representations over global fields. Learn about the connections between L-values and the orders of associated algebraic structures such as Chow groups and Selmer groups, building upon foundational concepts that extend from the Birch and Swinnerton-Dyer conjecture to the far-reaching generalizations proposed by the Bloch-Kato conjecture. Gain insights into recent developments in this field where automorphic forms serve as essential tools for studying L-values and have become foundational to much of the progress in modern number theory research.