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Explore the fourth lecture in a series introducing the Gan-Gross-Prasad (GGP) conjectures, delivered by Dipendra Prasad as part of the International Centre for Theoretical Sciences program on Automorphic Forms and the Bloch-Kato Conjecture. Delve into advanced topics in number theory focusing on the arithmetic nature of special values of L-functions and their connections to automorphic representations. Examine the relationships between automorphic forms and the orders of algebraic structures such as Chow groups and Selmer groups, building upon foundational concepts that extend beyond the classical Birch and Swinnerton-Dyer conjecture toward the more comprehensive Bloch-Kato conjecture. Gain insights into recent developments in the field that demonstrate increasing interactions between automorphic forms and arithmetic geometry, presented within the context of a specialized program designed for students and researchers interested in these cutting-edge mathematical developments.
