bio | website | preschema.com |
---|---|---|
location | Essen, Germany | |
age | 23 | |
visits | member for | 5 years, 7 months |
seen | Jun 18 at 14:21 | |
stats | profile views | 1,565 |
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). |