Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
I’ve started writing the notes of the talk I’ll be giving in Utrecht next week. They are here
nice. Would you mind if I made some trivial edits to the page? I have the urge to make a bunch of keywords hyperlinked ;-)
For some the relevant $n$Lab pages do not exist yet. It would be nice to create a stub for Artin algebra, for instance.
Hi Urs, I absolutely don’t mind. And I’ll keep creating stubs for missing nLab pages when you link them from my notes :)
okay, i have added some links.
Apart from Artin algebra there are now some unsatisfied links to very basic concepts such as complex manifold and holomorphic function which unfortunately we still do not have nLab entries about. Don’t feel pressured by these. But maybe you’d enjoy creating quick stub etries for these with just a 1-line Idea and maybe one standard reference.
(Myself, I am on the train right now and won’t be able to do much more at the moment.)
I’ve now created Artin ring and descending chain condition. now I’ll go on with the notes before creating new stubs.
created a stub for complex manifold and holomorphic function. Just so that these links don’t appear greyish.
thanks for Arting ring
I have linked it back and forth with infinitesimally thickened point. Maybe cross-check if you agree about my use of terminology there.
added a section on Cartan homotopies. while converting it from an old latex source of mine I thought “hey, but this is what I now would call the inner derivation Lie 2-algebra!” and indeed Cartan calculus was there :)
Some accents were coming out strangely in the title of Cartan’s work. I fixed them but please check that my fix works on your machines!
added a section on Cartan homotopies.
It’s looking good. When you are close to being finished, should I post a pointer to these notes to the announcement blog post here? I think it would be a nice advertizement both of your talk and of the usefulness of having $n$Lab notes :-)
while converting it from an old latex source of mine I thought “hey, but this is what I now would call the inner derivation Lie 2-algebra!” and indeed Cartan calculus was there :)
Okay, good. I had created that entry being pushed by Jim, who kept saying we should emphasize more manifestly how Cartan calculus sits inside $\infty$-Lie theory.
I keep meaning to write also an entry on how all things called “derived brackets” is similarly just a way to talk about the full automorphism infinity-Lie algebra.
But not right now, I need to urgenty be doing something else now.
It’s looking good. When you are close to being finished, should I post a pointer to these notes to the announcement blog post here? I think it would be a nice advertizement both of your talk and of the usefulness of having nLab notes :-)
Sure: that’s precisely the reason why I’m writing the notes in advance :)
I’ll post here when I’ll be almost finished.
the current status of the notes is:
Newlander-Nierenberg approach: to be completed
Kodaira-Spencer approach: to be written
The Deligne groupoid: to be completed
Gauge vs. homotopy equivalent Maurer-Cartan elements: to be written
Back to classical deformations: to be written
Other sections are complete. Note ready for blog post announcement, yet, but at least now they are readable.
Note ready for blog post announcement, yet, but at least now they are readable.
Okay, by the way, you can maybe just post the announcement yourself when you are ready: just post a comment to the thread that I had started on the $n$Cafe.
sure that’s the best way. I also just noticed in terror that a typo can change “not” in “note” and “note ready for blog post announcement” could have had terrific consequences.. :)
a typo can change “not” in “note”
the “yet” saved you (and only that ;-)
Note ready for blog post announcement :)
(I’m taking care of that)
Thanks, Domenico! Would it make sense to insert at the beginning the abstract of your talk? Or some other kind of summary or intro?
Hi Urs,
I hadn’t thought of that, but it is indeed a good idea to have there at the beginning the abstract and a link to the workshop web page. I’m now adding these data.
Hi Domenico,
one minor-minor typo: in the displayed equation above the line that starts with “where the bracket is the graded commutator” one backslash is missing in the source code!
Hi Urs,
thanks for having spotted that. there was also an \overline missing, now I’ve corrected that. please, feel free to edit the notes text.
I have added some references to Deligne groupoid, calculus of variations and related entries.
Thanks! That’s useful.
Hinich’s use of the h.c. nerve suggests to me that his version of Deformation Theory should be possibly nearer to the n-POV than was thought of when he wrote the first few papers on that approach.
1 to 25 of 25