2024/09/05 by Syed Waqar Ali Shah, Shah, Syed Waqar Ali
Chemistry · Mathematics · #11F67 #11F70 (Primary) 20E42 #11R23 #20G25 #22D99 (Secondary) #Advanced Algebra and Geometry #Advanced NMR Techniques and Applications #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2409.03517
openalex publication_date 2024/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a novel axiomatic framework for establishing horizontal norm relations in Euler systems that are built from pushforwards of classes in the motivic cohomology of Shimura varieties. This framework is uniformly applicable to the Euler systems of both algebraic cycles and Eisenstein classes. It also applies to non-spherical pairs of groups that fail to satisfy a local multiplicity one hypothesis, and thus lie beyond the reach of existing methods. A key application of this work is the construction of an Euler system for the spinor Galois representations arising in the cohomology of Siegel modular varieties of genus three, which is undertaken in two companion articles.