2 problems

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Ayoub's relative motivic t-structure conjecture
Let $k$ be a field of characteristic $0$ equipped with a complex embedding, and let $\operatorname{DA}^{\mathrm{\acute{e}t}}(-,\mathbb{Q})$ and…
Conjectureopencoefficient-systems motivic-sheaves motivic-t-structuresarXiv posted 2 days ago
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The mixed motives weight filtration conjecture
Mixed motives weight filtration conjecture. The full subcategory of semi-simple objects of the conjectural heart is the category of numerical motives, and every object has a weight…
Conjectureopenmixed-motives motivic-t-structures numerical-motivesarXiv posted 2 days ago

Ayoub's relative motivic t-structure conjecture