p-adic Families of Yoshida Lifts

Explore the construction and properties of p-adic families of Yoshida lifts in this advanced mathematical lecture delivered at the International Centre for Theoretical Sciences. Delve into the intricate connections between automorphic forms and the arithmetic of special values of L-functions as part of a comprehensive program on Automorphic Forms and the Bloch-Kato Conjecture. Examine how Yoshida lifts, which are specific types of automorphic forms, can be organized into p-adic families and understand their significance in modern number theory. Learn about the theoretical framework underlying these constructions and their applications to understanding special L-values and associated algebraic structures. Discover the role of these mathematical objects in advancing our understanding of fundamental conjectures in arithmetic geometry, including connections to the Birch and Swinnerton-Dyer conjecture and the broader Bloch-Kato conjecture. Gain insights into cutting-edge research techniques used to study p-adic variations of automorphic forms and their implications for the arithmetic of motives and algebraic varieties.