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arXiv · 2403.03596

Rational motives on pro-algebraic stacks

Can Yaylali
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Abstract

We define an $\infty$-category of rational motives for inverse limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a $6$-functor formalism for certain classes of morphisms. On pro-schemes, we show that this $6$-functor formalism is in the sense of Liu-Zheng. This theory yields an approach to the theory of motives for non-representable algebraic stacks and non-finite type morphisms.

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Can Yaylali. 2024-03-06. Rational motives on pro-algebraic stacks. https://doi.org/10.21136/hs.2026.04

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