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On the motivic Segal conjecture
Journal of Topology ( IF 0.8 ) Pub Date : 2023-09-06 , DOI: 10.1112/topo.12311
Thomas Gregersen 1 , John Rognes 2
Affiliation  

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

中文翻译:

关于动机西格尔猜想

我们建立了 Lin 和 Gunawardena 定理的动机版本,从而证实了代数群的动机 Segal 猜想  μ $\mu _\ell$ $\ell$ 统一根,其中 $\ell$ 是任意素数. 为了实现这一目标,我们开发了与对称群相关的动机 Singer 结构  S $S_\ell$ 并  μ $\mu _\ell$ ,并引入延迟极限亚当斯谱序列。
更新日期:2023-09-06
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