The p-adic Constant for Mock Modular Forms Associated to CM Forms

Explore the p-adic constant for mock modular forms associated to CM forms in this 57-minute conference talk by Ryota Tajima from the International Centre for Theoretical Sciences. Delve into advanced topics in number theory and automorphic forms as part of the "Automorphic Forms and the Bloch–Kato Conjecture" program. Examine the intricate connections between mock modular forms, complex multiplication (CM) forms, and p-adic analysis. Learn about the arithmetic nature of special values of L-functions and their relationship to algebraic structures such as Chow groups and Selmer groups. Discover how this research contributes to understanding the Bloch-Kato conjecture, which generalizes the famous Birch and Swinnerton-Dyer conjecture. Gain insights into recent developments in the field that bridge automorphic forms with arithmetic properties of L-function special values, presented as part of a comprehensive program featuring leading researchers from institutions including The University of Texas at Austin, UCLA, IIT Kanpur, and the Chinese Academy of Sciences.