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Explore the third 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 theoretical framework that bridges automorphic forms with the arithmetic of special L-function values, building upon foundational concepts essential for understanding the Bloch-Kato conjecture and its generalizations. Gain insights into recent developments in the field that demonstrate increasing interactions between automorphic forms and arithmetic structures, including connections to Chow groups and Selmer groups that extend beyond classical examples like the Birch and Swinnerton-Dyer conjecture.
