Euler systems and relative Satake isomorphism
Number Theory
2025-10-28 v2
Abstract
We explain how the unramified Plancherel formula in the relative Langlands program gives a natural way of constructing test vectors which satisfy the tame norm relations of an Euler system. This uniformly recovers many of the known Euler systems, and in the twisted Friedberg--Jacquet setting, we produce a new split anticyclotomic Euler system.
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Cite
@article{arxiv.2410.18392,
title = {Euler systems and relative Satake isomorphism},
author = {Li Cai and Yangyu Fan and Shilin Lai},
journal= {arXiv preprint arXiv:2410.18392},
year = {2025}
}
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32 pages