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arXiv · 1906.01306

Nilpotence in normed MGL-modules

Tom Bachmann·Jeremy Hahn
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Abstract

We establish a motivic version of the May Nilpotence Conjecture: if E is a normed motivic spectrum that satisfies $E \wedge HZ \simeq 0$, then also $E \wedge MGL \simeq 0$. In words, motivic homology detects vanishing of normed modules over the algebraic cobordism spectrum.

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Tom Bachmann, Jeremy Hahn. 2019-06-04. Nilpotence in normed MGL-modules. https://arxiv.org/abs/1906.01306

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