Euler systems and relative Satake isomorphism

We explain how the tame norm relation in Euler systems is a formal consequence of the unramified Plancherel formula in the relative Langlands program and a mild refinement of the generalized Cartan decomposition. This uniformly recovers many of the known Euler systems and produces a new split anticy...

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Hauptverfasser: Cai, Li, Fan, Yangyu, Lai, Shilin
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Sprache:eng
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Zusammenfassung:We explain how the tame norm relation in Euler systems is a formal consequence of the unramified Plancherel formula in the relative Langlands program and a mild refinement of the generalized Cartan decomposition. This uniformly recovers many of the known Euler systems and produces a new split anticyclotomic Euler system in a case studied by Cornut.
DOI:10.48550/arxiv.2410.18392