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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
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Books you would like to read (if somebody would just write them…)
Variational PDE's and Lagrangian field theory for mathemticians
Also
Hodge theory of asymptotic expansions of oscillatory integrals and resurgence
17
votes
Tweetable Mathematics
Breaking News: A mathematician blew up 6 points on a plane! You won't believe what happened next...
0
votes
What elementary problems can you solve with schemes?
Purity theorem: A map between smooth complex algebraic manifolds of the same dimension has ramification locus of pure codimension 1.
One can prove this by a clever induction on dimension using punctu …
64
votes
1
answer
4k
views
A dictionary of Characteristic classes and obstructions
I apologize in advance as this is not a research level question but rather one which could benefit from expert attention but is potentially useful mainly to novice mathematicians.
In an effort to ge …