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On the nLab page for the Brauer group, under the "Relation to derived étale cohomology" section, they use the notation , which I can't find defined anywhere (nor in some of the linked references). Is the diagram in which it appears actually defining it? I'd love to read about the "cohomology is just functors into " version of étale cohomology somewhere, but I didn't think that such a thing existed
How is this thing related to as an algebraic stack?
(If anyone knows, I'd like to hear!)