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arXiv · 2510.17778

Motivic homotopy theory and stable homotopy groups

Frédéric Déglise
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Abstract

These notes, written version of a Bourbaki talk, survey Morel-Voevodsky's motivic homotopy theory over a field, with a focus on computations of motivic homotopy sheaves, both stable and unstable. We also describe Isaksen-Wang-Xu's applications to the determination of stable stems through the motivic Adams spectral sequence, which also paved the way toward synthetic homotopy theory.

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Frédéric Déglise. 2025-10-20. Motivic homotopy theory and stable homotopy groups. https://arxiv.org/abs/2510.17778

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