关于motivic-Segal猜想

Pub Date : 2023-09-06 DOI:10.1112/topo.12311

Thomas Gregersen, John Rognes

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引用次数: 1

摘要

我们建立了Lin定理和Gunawardena定理的动机版本，从而证实了对于单位n根的代数群μ r $\mu _\ell$的动机Segal猜想，其中，r $\ell$是任意素数。为此，我们建立了对称群S $S_\ell$和μ $S_\ell$的动机Singer结构，并引入了延迟极限Adams谱序列。

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On the motivic Segal conjecture

We establish motivic versions of the theorems of Lin and Gunawardena, thereby confirming the motivic Segal conjecture for the algebraic group $μ_{ℓ}$ of $ℓ$ th roots of unity, where $ℓ$ is any prime. To achieve this we develop motivic Singer constructions associated to the symmetric group $S_{ℓ}$ and to $μ_{ℓ}$ , and introduce a delayed limit Adams spectral sequence.

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