An Introduction to the GGP Conjectures - Lecture 1

This lecture explores "An Introduction to the GGP Conjectures" presented by Dipendra Prasad as part of the "Automorphic Forms and the Bloch–Kato Conjecture" program at the International Centre for Theoretical Sciences. Delve into fundamental concepts connecting automorphic forms and arithmetic of special values of L-functions during this comprehensive 2-hour session. The program focuses on recent developments in number theory, particularly examining the arithmetic nature of special values of complex L-functions associated with algebraic varieties, motives, or automorphic representations over global fields. Learn about the connections between L-values and orders of algebraic structures like Chow groups or Selmer groups, with the Birch and Swinnerton-Dyer conjecture serving as a key example and the Bloch-Kato conjecture offering broader generalizations. Designed for students and researchers interested in number theory, this lecture is part of ICTS's commitment to creating an inclusive, non-discriminatory environment welcoming diverse participants.