28

Answers
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7
Most striking applications of category theory?
0
A toy example of a tensor triangulated category?
17
Non-commutative algebraic geometry (3)
6
Collecting various theories on toy examples: Projective space
3
TDO basic facts reference request
17
Books you would like to see translated into English.
3
Functorial characterization of morphisms of schemes (2)
2
How much theory works out for “almost commutative” rings?
2
characterization of a submodule
14
What would a “moral” proof of the Weil Conjectures require?
1
Tate Cohomology via Stable Categories
8
Precise definition of a scheme (Key question: How to define an open subfunctor without resorting to classical scheme theory)
6
Applications of Noncommutative Geometry
10
“Algebraic” topologies like the Zariski topology?
2
What is an algebraic group over a noncommutative ring?
7
Is there an analogue Beilinson-Bernstein localization for quantized enveloping algebra
6
“Every scheme as a sheaf” references?
5
Canonical topology on the category of schemes?
0
Does sheafification preserve sheaves for a different topology?
1
Several Topos theory questions
5
The importance of EGA and SGA for “students of today”
4
equivalence of Grothendieck-style versus Cech-style sheaf cohomology
4
Bimodules in geometry
5
Homological Algebra for Commutative Monoids?
3
Presheaves as limits of representable functors?
3
Assumptions on the category C for sheafification of C-valued presheaves
4
When does the sheaf direct image functor f_* have a right adjoint?
3
Why is it a good idea to study a ring by studying its modules?