Motives on pro-algebraic stacks
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.
Fields of Study & Subjects
Advanced Algebra and Logic
Logic
programming
and type systems
Publication details
- Volume
- 10
- Issue
- 1
- Pages
- 99–125
- Publication date
- 19 June 2026
- Language
- EN