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Explore the intricacies of automorphic Green's functions on spin Shimura varieties and their connection to Kummer periods in this seminar from the Geometry, Arithmetic and Differential Equations of Periods (GADEPs) series. Delve into the motivations behind the Birch-Swinnerton-Dyer and Beilinson-Bloch conjectures as Jeanine Van Order from PUC, Brazil, explains the construction of these functions and their expected links to motivic cohomology classes. Gain insights into ongoing research, including joint work with Spencer Bloch, in this 85-minute presentation held at IMPA (Instituto de Matemática Pura e Aplicada) in Brazil. Suitable for advanced mathematics students and researchers interested in number theory, algebraic geometry, and their intersections.
