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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeFeb 7th 2013
• CommentRowNumber2.
• CommentAuthorDavidRoberts
• CommentTimeApr 17th 2019

Lukas Brantner, Akhil Mathew, Deformation Theory and Partition Lie Algebras, arXiv:1904.07352

• CommentRowNumber3.
• CommentAuthorGuest
• CommentTimeNov 5th 2019
There's a problem in Definition 1.1.

FMPs are not required to preserve all pull-backs between small objects, but onty pull-backs along small morphisms.
• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeNov 6th 2019

I have briefly added the missing clause now.

But the entry remains a stub, waiting for somebody to expand on it.

1. Adds a brief elaboration on interpreting the infinitesmally-cartesian condition in obstruction theory.

Jake Bian

• CommentRowNumber6.
• CommentAuthorGuest
• CommentTimeJun 22nd 2022
For instance:
- there is Benjamin Hennion's work that extend the Pridham-Lurie theorem over a cdga (rather than just a field).
- there is Joost Nuiten's work on the equivalence between Lie algebroids and formal thickenings of a derived affine scheme (this encompasses Hennion's work mentioned above).
- there is my work with Campos and Nuiten that generalizes the equivalence to the case of a pair of Koszul dual operads (the theorem of Lurie and Pridham corresponds to the (Com,Lie) duality).

Finally, there is a nice reference on FMP, that is Toën's Bourbaki seminar: https://hal.archives-ouvertes.fr/hal-01253022v2

Damien (Calaque)
• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeJun 22nd 2022

Would it make sense

Certainly!

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