Lectures on the Anticyclotomic Main Conjecture-II - Lecture 2

Explore the second lecture in a series on the Anticyclotomic Main Conjecture delivered by Haruzo Hida from UCLA as part of the International Centre for Theoretical Sciences program on Automorphic Forms and the Bloch-Kato Conjecture. Delve into advanced topics connecting automorphic forms to the arithmetic nature of special values of L-functions, building upon foundational concepts from the first lecture. Examine the intricate relationships between L-values and algebraic structures such as Chow groups and Selmer groups, with particular focus on how these connections relate to the broader framework of the Bloch-Kato conjecture. Gain insights into recent developments in number theory that bridge automorphic representations and arithmetic geometry, understanding how the anticyclotomic main conjecture fits within the larger landscape of conjectures including the Birch and Swinnerton-Dyer conjecture. Follow Professor Hida's expert exposition as he navigates through complex mathematical structures and their applications to understanding the arithmetic properties of algebraic varieties and motives over global fields.