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Results tagged with big-picture
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user 65
Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
11
votes
What are examples of good toy models in mathematics?
One can think of Grothendieck ring of varieties as a toy model for motives.
7
votes
Accepted
What is Drinfeld's manuscript "Best Dream" (in Russian!) about?
From the first line it appears to about D-modules on stacks.
The next topic is an attempt to construct a "duality" (called F) for derived category of (quasicoherent) D-modules on Bun_G (the space/sta …
- 15.1k
6
votes
Heuristic behind the Fourier-Mukai transform
The following answers might be useful:
Fourier-Mukai transform - a first example
Intuition for Integral Transforms
Fourier transform for dummies
The last one has my sketch of an answer which I'll …
- 15.1k
6
votes
Universal definition of tangent spaces (for schemes and manifolds)
The philosophy I subscribe to: tangent vector is an object defined by a base point and a direction.
When you want to make a formal definition out of it you do the following things:
for schemes, you …
- 15.1k
-3
votes
Describe a topic in one sentence.
QFT — every expression converges after a Wick rotation.