2,416 reputation
11528
bio website preschema.com
location Essen, Germany
age 23
visits member for 5 years, 8 months
seen Jun 18 at 14:21

Jun
26
awarded  Notable Question
Jun
18
comment Higher refinement of Seifert-van Kampen theorem on the language of hocolim
@DavidRoberts, Lurie's version is discussed here: ncatlab.org/nlab/show/higher+homotopy+van+Kampen+theorem
May
25
comment is there a moduli of stable infinity categories?
@pro, thanks. I know that moduli stacks of dg-categories are discussed in To\"en's beautiful paper on derived Azumaya algebras, which has been generalized to a spectral stack parametrizing R-linear categories for R a commutative ring spectrum by Antieau-Gepner. I don't think they discuss the type of issue you are interested in there, though.
May
24
comment Homotopy pullback preserving functor
@FernandoMuro, I may be missing something, but if $A$ and $B$ have the trivial model structures, then the condition of preserving fibrations and weak equivalences is vacuous, while the condition of preserving homotopy fibres is a type of left-exactness, right?
May
24
comment Homotopy pullback preserving functor
@FernandoMuro, the proposition in the paper says that the functor preserves fibrations in the model structure, not fibre sequences.
May
24
comment is there a moduli of stable infinity categories?
@pro, thanks! Would you mind also sharing the approximations that you found in the literature?
May
24
comment is there a moduli of stable infinity categories?
@pro, would you mind explaining what you mean by infinitesimal theory here?
May
14
revised Matrix factorizations as a dg-category?
edited tags
May
13
answered How to show the following two definitions of homotopy monomorphism are equivalent?
May
13
answered A question about the morphisms in the homotopy category of dg-Cat
May
3
awarded  Custodian
Apr
28
comment Is there any explicit result on the triangulated category of singularities of a curve?
Do you know a reference for that? I only knew that fact in the smooth case.
Apr
28
comment Is there any explicit result on the triangulated category of singularities of a curve?
Just a comment: a semi-orthogonal decomposition of D^b_coh induces a semi-orthogonal decomposition of D_sg, according to Corollary 1.12 here.
Apr
27
answered Could we extend the exact sequence $K^0(X)\to K_0(X)\to K_0(D_{sg}(X))\to 0$ to the left?
Apr
22
comment Are Bökstedt's THH manuscripts available?
I could e-mail them to you.
Apr
16
answered Does a fully faithful functor between triangulated categories induce embedding of their Grothendieck groups?
Apr
9
comment Algebraic K-theory of complex varieties
Analytic descent for K-theory would follow directly from analytic descent for perfect complexes. I have no idea whether the latter is true, though.
Apr
6
comment Integral transform on noncommutative spaces
@bananastack, I learned this from Marco Robalo's thesis, but it is probably in some paper of To\"en.
Apr
6
comment How does one compute a colimit of monoidal categories?
I believe non-strict monoidal categories can be described as algebras over a monad which is a cofibrant replacement of the monad presenting strict monoidal categories. So a similar statement should hold.
Apr
6
comment Integral transform on noncommutative spaces
@bananastack, saturated dg-categories also come from dg-algebras, by the way (from dg-algebras of finite type, even).