User AAK

83 votes

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Derived algebraic geometry: how to reach research level math?

answered Sep 26, 2015 at 23:24

60 votes

New grand projects in contemporary math

answered Dec 31, 2012 at 8:41

47 votes

Old books still used

answered Dec 28, 2012 at 22:22

41 votes

A bestiary of topologies on Sch

answered Nov 11, 2014 at 16:30

25 votes

Algebraic K-theory and Homotopy Sheaves

answered Sep 6, 2014 at 22:14

24 votes

Why do we need model categories?

answered Nov 27, 2017 at 19:10

23 votes

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Motivation and potential applications of spectral algebraic geometry

answered Dec 15, 2015 at 18:29

23 votes

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Mysterious quotes (at least for me)

answered Nov 6, 2014 at 11:21

22 votes

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Why is "naive" definition of non-commutative spectrum bad?

answered Mar 6, 2014 at 17:34

21 votes

Stable infinity categories vs dg-categories

answered Nov 15, 2013 at 17:55

17 votes

Why is the motivic category defined over the site of smooth schemes only?

answered Jan 4, 2018 at 20:02

16 votes

DG categories in algebraic geometry - guide to the literature?

answered Jun 21, 2016 at 23:15

15 votes

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What is the applications of the dg-enhancements of derived categories of sheaves

answered Apr 4, 2015 at 9:01

14 votes

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Geometric morphism of $\infty$ topos

answered Oct 28, 2015 at 10:47

14 votes

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Relationship between Hochschild cohomology and Drinfeld centers

answered Jan 12, 2015 at 17:36

14 votes

What is the relationship between connective and nonconnective derived algebraic geometry?

answered Apr 30, 2017 at 14:43

13 votes

Does Bourbaki's (and Grothendieck's) approach to mathematics survive today?

answered Dec 12, 2012 at 21:42

12 votes

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A question on Voevodsky´s categories

answered Dec 16, 2017 at 0:58

10 votes

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Is dgCat a category or a 2-category?

answered Sep 29, 2015 at 7:42

9 votes

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K theory long exact sequence

answered Nov 25, 2015 at 21:19

9 votes

Basic questions about stacks 2

answered Jun 23, 2011 at 13:33

9 votes

References for the "nerve of an algebraic variety"

answered May 14, 2014 at 16:02

9 votes

How to show the following two definitions of homotopy monomorphism are equivalent?

answered May 13, 2015 at 17:17

8 votes

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Relations between Motivic Galois groups and Motivic t-structure?

answered Aug 27, 2016 at 17:32

8 votes

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Could we extend the exact sequence $K^0(X)\to K_0(X)\to K_0(D_{sg}(X))\to 0$ to the left?

answered Apr 27, 2015 at 9:06

7 votes

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When do the polynomial algebra and free algebra coincide in brave new algebra?

answered Apr 27, 2017 at 23:13

7 votes

Morphisms of $\mathbb E_l$-rings between $\mathbb E_k$-rings for $l<k$

answered Apr 28, 2017 at 19:11

6 votes

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Do $RHom(C,D)$ and $DG(C,D)$ have equivalent homotopy categories?

answered Jan 28, 2016 at 7:41

6 votes

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Do algebraic stacks satisfy fpqc descent?

answered Mar 25, 2015 at 7:01

6 votes

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Monoidal structure on simplicial sheaves

answered Mar 30, 2015 at 13:11

Stack Exchange Network

45 Answers

Derived algebraic geometry: how to reach research level math?

New grand projects in contemporary math

Old books still used

A bestiary of topologies on Sch

Algebraic K-theory and Homotopy Sheaves

Why do we need model categories?

Motivation and potential applications of spectral algebraic geometry

Mysterious quotes (at least for me)

Why is "naive" definition of non-commutative spectrum bad?

Stable infinity categories vs dg-categories

Why is the motivic category defined over the site of smooth schemes only?

DG categories in algebraic geometry - guide to the literature?

What is the applications of the dg-enhancements of derived categories of sheaves

Geometric morphism of $\infty$ topos

Relationship between Hochschild cohomology and Drinfeld centers

What is the relationship between connective and nonconnective derived algebraic geometry?

Does Bourbaki's (and Grothendieck's) approach to mathematics survive today?

A question on Voevodsky´s categories

Is dgCat a category or a 2-category?

K theory long exact sequence

Basic questions about stacks 2

References for the "nerve of an algebraic variety"

How to show the following two definitions of homotopy monomorphism are equivalent?

Relations between Motivic Galois groups and Motivic t-structure?

Could we extend the exact sequence $K^0(X)\to K_0(X)\to K_0(D_{sg}(X))\to 0$ to the left?

When do the polynomial algebra and free algebra coincide in brave new algebra?

Morphisms of $\mathbb E_l$-rings between $\mathbb E_k$-rings for $l<k$

Do $RHom(C,D)$ and $DG(C,D)$ have equivalent homotopy categories?

Do algebraic stacks satisfy fpqc descent?

Monoidal structure on simplicial sheaves