What does it mean in $n$-categories the saying pursuing stacks ?
2026-03-30 08:21:10.1774858870
Pursuing stacks
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It's a manuscript by Grothendieck detailing a program for developing a theory of "higher stacks" and related objects. It started off as a letter to Quillen, and an English translation can be found online here.
In the text quoted in the OP - Simpson's Homotopy theory of higher categories - the manuscript is introduced at the bottom of page $7$ ('A major turning point in the history of higher categories was Alexander Grothendieck's famous manuscript "Pursuing Stacks"...').