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arXiv · 2410.22797

Non-vanishing mod $p$ of derived Hecke algebra of the multiplicative group over number field

Dohyeong Kim·Jaesung Kwon
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Abstract

We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. The degree one part of the action is proved to be non-vanishing modulo $p$ under mild assumptions. The main ingredient is the Grunwald--Wang theorem.

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Dohyeong Kim, Jaesung Kwon. 2024-10-30. Non-vanishing mod $p$ of derived Hecke algebra of the multiplicative group over number field. https://arxiv.org/abs/2410.22797

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