Timeline for What is the k-linear structure on the derived infinity category of quasi-coherent sheaves?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 20, 2023 at 17:02 | vote | accept | Piotr D. | ||
| Oct 20, 2023 at 17:02 | comment | added | Piotr D. | Ahh, I see. Thank you very much! | |
| Oct 20, 2023 at 15:53 | comment | added | Maxime Ramzi | What I mean is that if $\mathcal C$ has appropriate colimits, then $Mod_A(\mathcal C)$ is a symmetric monoidal $\infty$-category; but even if not it is still an $\infty$-operad (although I'm not as sure that this has been recorded, which is why I contrasted this with "as expected") | |
| Oct 20, 2023 at 15:29 | comment | added | Piotr D. | Thank you very much for this nice explanation. I think I get the gist of your answer, but I will need some time to check the details myself. When you say $CAlg(Mod_A(\mathcal C))$ is "to be interpreted as expected" in the presence of appropriate colimits, it sounds like you have another (perhaps simpler) definition in mind than the one using the operadic structure of $Mod_A(\mathcal C)$? | |
| Oct 19, 2023 at 17:22 | history | answered | Maxime Ramzi | CC BY-SA 4.0 |