1,347 reputation
11425
bio website preschema.com
location Essen, Germany
age 23
visits member for 5 years
seen Dec 18 at 12:40

Nov
2
revised Why higher category theory?
add higher-category-theory tag
Nov
2
suggested approved edit on Why higher category theory?
Nov
2
comment Why higher category theory?
See the closely related question mathoverflow.net/questions/169187/….
Oct
29
comment Why care about Fourier-Mukai partners?
By results of D. Orlov and B. To\"en, there is no difference between equivalence at the level of derived categories or at the level of dg- or infinity-categories, for smooth projective varieties.
Oct
24
revised What is the Beilinson regulator?
update broken link
Oct
24
suggested approved edit on What is the Beilinson regulator?
Sep
27
answered Existence of ind-right adjoint functor for semi-simple category?
Sep
16
comment Can the Grothendieck ring of varities over a field $k$ be defined for non separated schemes?
@Ari, the question is not about the Grothendieck group $K_0(X)$ of a scheme X, but about the Grothendieck ring $K_0(Sch_k)$ of all (separated, finite type) k-schemes.
Sep
15
comment Are these two “FUNCTORS” adjoint?
I guess this is what the OP has in mind: ncatlab.org/nlab/show/spectrum+of+an+abelian+category
Sep
13
comment What is a stable $(n,1)$-category?
For n=2 there are apparently several definitions in the literature, see the overview article arxiv.org/abs/0904.0078.
Sep
7
comment Algebraic K-theory and Homotopy Sheaves
@user125763, I added a reference which seems to discuss this (though I haven't had a chance to look at it myself yet).
Sep
7
revised Algebraic K-theory and Homotopy Sheaves
added a reference
Sep
7
revised Algebraic K-theory and Homotopy Sheaves
some clarification about the proof
Sep
7
awarded  Necromancer
Sep
6
answered Algebraic K-theory and Homotopy Sheaves
Sep
5
revised A general theory of quasi-functors, generalizing from dg-categories to $\mathcal V$-categories, with $\mathcal V$ monoidal model category
Corrected attribution of model structure on dg-categories
Sep
5
comment A general theory of quasi-functors, generalizing from dg-categories to $\mathcal V$-categories, with $\mathcal V$ monoidal model category
@MauroPorta, Lurie's construction does work in great generality, but probably is not that useful for practical purposes because one cannot really get a handle on this "chunk" (I am referring to Lemma A.3.4.6). For this reason I think the question raised by Francesco of in which generality the construction of Toën using quasi-functors works, is interesting.
Sep
5
suggested approved edit on A general theory of quasi-functors, generalizing from dg-categories to $\mathcal V$-categories, with $\mathcal V$ monoidal model category
Aug
28
awarded  Fanatic
Aug
25
comment what is the stabilization of pointed sets?
@tetrapharmakon, in general, if $C$ is a cocomplete and complete 1-category then its nerve $N(C)$ is the infinity-category generated by the trivial model structure on $C$.