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AAK's user avatar
AAK's user avatar
AAK
  • Member for 14 years, 3 months
  • Last seen more than 2 years ago
3 votes
Accepted

Why are pushouts the right tool in these setups

41 votes

A bestiary of topologies on Sch

17 votes

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

12 votes
Accepted

A question on Voevodsky´s categories

24 votes

Why do we need model categories?

14 votes

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

7 votes

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

7 votes
Accepted

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

81 votes
Accepted

Derived algebraic geometry: how to reach research level math?

3 votes
Accepted

When is a sheaf coherent if its image under a Fourier-Mukai transform is coherent?

8 votes
Accepted

Relations between Motivic Galois groups and Motivic t-structure?

16 votes

DG categories in algebraic geometry - guide to the literature?

6 votes
Accepted

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

23 votes
Accepted

Motivation and potential applications of spectral algebraic geometry

9 votes
Accepted

K theory long exact sequence

14 votes
Accepted

Geometric morphism of $\infty$ topos

10 votes
Accepted

Is dgCat a category or a 2-category?

9 votes

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

5 votes
Accepted

A question about the morphisms in the homotopy category of dg-Cat

8 votes
Accepted

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

3 votes

Does a fully faithful functor between triangulated categories induce embedding of their Grothendieck groups?

2 votes
Accepted

Integral transform on noncommutative spaces

15 votes
Accepted

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

6 votes
Accepted

Monoidal structure on simplicial sheaves

6 votes
Accepted

Do algebraic stacks satisfy fpqc descent?

3 votes

A general theory of quasi-functors, generalizing from dg-categories to $\mathcal V$-categories, with $\mathcal V$ monoidal model category

3 votes
Accepted

Descent properties of spaces

24 votes

Algebraic K-theory and Homotopy Sheaves

5 votes

When are homotopy categories of model categories closed modules over the homotopy category of $(\infty, 1)$-categories?

3 votes

An example of two cofibrant dg categories whose tensor product is not cofibrant