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11
votes
Accepted
Modules over the integral dual Steenrod algebra as linear functors
First I should say that Clausen-Scholze are not considering functors which preserve direct sums, but rather all functors. (This is likely why, in the end, one needs to know something about the homolog …
5
votes
Steenrod operations in algebraic geometry
Not sure if this counts, but a much older application of $Sq^1$ (appearing as a Bockstein) and some of its cousins appears in Serre's paper on Witt vector cohomology. He constructed a family of operat …