Greenberg's Question for Siegel Modular Forms

Explore Greenberg's Question as it applies to Siegel modular forms in this mathematical lecture delivered by Shaunak Deo at the International Centre for Theoretical Sciences. Delve into advanced topics in number theory and automorphic forms as part of the comprehensive program "Automorphic Forms and the Bloch–Kato Conjecture." Examine the intricate connections between automorphic forms and the arithmetic nature of special values of L-functions, building upon foundational concepts in algebraic number theory. Investigate how Greenberg's Question relates to Siegel modular forms, which are higher-dimensional generalizations of classical modular forms that play crucial roles in understanding L-values and their associated algebraic structures. Gain insights into recent developments in the field that connect automorphic representations to arithmetic problems, including connections to the Birch and Swinnerton-Dyer conjecture and the broader Bloch-Kato conjecture framework. Discover how these mathematical objects contribute to our understanding of special values of complex L-functions and their relationships to Chow groups and Selmer groups in algebraic geometry and arithmetic.