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arXiv · 2310.00974

The motivic Adams conjecture

Alexey Ananyevskiy·Elden Elmanto·Oliver Röndigs·Maria Yakerson
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Abstract

We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we obtain a motivic version of mod k Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety of maximal tori in a general linear group, which turns out to be not stably A1-connected. We also show that the higher motivic stable stems are of bounded torsion.

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Alexey Ananyevskiy, Elden Elmanto, Oliver Röndigs, Maria Yakerson. 2023-10-02. The motivic Adams conjecture. https://arxiv.org/abs/2310.00974

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