A presentable six-functor formalism satisfying cohomological purity extends to Ind- and Pro-categories, defining motivic stable homotopy theory for ind-pro algebraic stacks such as the Hecke stack.
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Abstract Six-Functor Formalisms: Extension to Ind- and Pro- Categories and Functorial Cohomological Purity
A presentable six-functor formalism satisfying cohomological purity extends to Ind- and Pro-categories, defining motivic stable homotopy theory for ind-pro algebraic stacks such as the Hecke stack.