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Stream: learning: questions

Topic: étale delooping


view this post on Zulip Tim Hosgood (Aug 12 2024 at 15:34):

On the nLab page for the Brauer group, under the "Relation to derived étale cohomology" section, they use the notation Bet\mathbb{B}_\mathrm{et}, 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 BG\mathbb{B}G" version of étale cohomology somewhere, but I didn't think that such a thing existed

view this post on Zulip John Baez (Aug 12 2024 at 15:48):

How is this BetG\mathbb{B}_{\mathrm{et}}G thing related to BGBG as an algebraic stack?

(If anyone knows, I'd like to hear!)

view this post on Zulip Fernando Yamauti (Aug 12 2024 at 19:27):

https://ncatlab.org/nlab/show/May+recognition+theorem