The paper defines motivic representation stability via finite-group motivic decompositions, states four conjectures for representation varieties of surface, free, and abelian groups, and verifies them for several matrix groups.
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Motivic (Representation) Stability of Representation Varieties and Character Stacks
The paper defines motivic representation stability via finite-group motivic decompositions, states four conjectures for representation varieties of surface, free, and abelian groups, and verifies them for several matrix groups.