Geometric norms together with inflations assemble into a functor that is an equivalence between rational ultracommutative ring spectra and certain functors on the span category of finite connected groupoids.
Separable isogenies of oriented elliptic curves and geometric norms on equivariant elliptic cohomology
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An algebraic model for rational ultracommutative rings
Geometric norms together with inflations assemble into a functor that is an equivalence between rational ultracommutative ring spectra and certain functors on the span category of finite connected groupoids.