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24 votes
2 answers
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Foundations and contradictions of Scholze's work: the category of presentable infinity categories contains itself

Preface: I am not an expert in the work of Scholze, or anything for that matter. Question Has Scholze stated what axioms he is using to develop his theory of motives and analytic geometry. In the ...
Rilem's user avatar
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4 votes
0 answers
537 views

Why do motivic stacks make sense?

In the paper "Motivic model categories and motivic derived algebraic geometry", Yuki Kato, whose email-address I sadly couldn't find out, describes a procedure to "motivy" the objects of any $(\infty,...
Alexander Praehauser's user avatar
3 votes
0 answers
433 views

Stable $\infty$-category of motives

In nLab motive, it defines the derived category of motives as the full sub-$\infty$-category of the $\infty$-category of functors $\mathop{\mathrm{Fun}}(\mathrm{Cor}_k^{\mathrm{op}}, \mathcal S)$ ...
Aoi Koshigaya's user avatar