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Nilpotence in normed MGL-modules

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arxiv 1906.01306 v2 pith:TYLG36JF submitted 2019-06-04 math.AT math.AGmath.KT

Nilpotence in normed MGL-modules

Tom Bachmann , Jeremy Hahn This is my paper
classification math.AT math.AGmath.KT
keywords motivicnormednilpotencesimeqspectrumwedgealgebraiccobordism
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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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  1. Periodic phenomena in stable motivic homotopy theory

    math.AT 2026-07 unverdicted novelty 2.0

    A survey of periodic phenomena in stable motivic homotopy theory, organizing known motivic Adams spectral sequence computations and open problems; no new theorem is proven.