Skip to main content

Timeline for What's a (infinity-) semi-stack?

Current License: CC BY-SA 3.0

6 events
when toggle format what by license comment
Dec 25, 2017 at 11:42 comment added David Roberts I don't know why people feel the need to use a new word (pile) for something that has been around for decades...
Dec 23, 2017 at 8:02 history edited S. Carnahan CC BY-SA 3.0
Clarification
Dec 23, 2017 at 7:46 history edited S. Carnahan CC BY-SA 3.0
Added notational suggestion.
Dec 22, 2017 at 16:12 comment added David Ben-Zvi Such a pile gives an ordinary stack, by looking at the maximal subgroupoid, together with an algebra object in self-spans, given by the Hom spaces. As such these things are fairly straightforward to capture in an $\infty$-setting --- e.g. the book of Gaitsgory-Rozenblyum discusses "stacky monoids" --Segal objects in derived stacks
Dec 22, 2017 at 16:10 comment added David Ben-Zvi Charles Rezk uses the suggestive term "pile" for a stack of categories such as you describe (in his case, elliptic curves with isogenies)
Dec 22, 2017 at 3:15 history answered S. Carnahan CC BY-SA 3.0