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Delve into an advanced mathematics lecture exploring motivic Eisenstein cohomology, p-adic interpolation, and their applications. Examine the definition of motivic Eisenstein classes in various scenarios, particularly for smooth commutative group schemes with torsion sections. Investigate p-adic interpolation results for the images of these classes under the étale regulator. Discover arithmetic applications, with a focus on the explicit reciprocity law for Rankin-convolutions. Gain insights into cutting-edge research in algebraic geometry, number theory, and related fields as presented by Guido Kings within the Hausdorff Trimester Program on K-Theory and Related Fields.
