bio  website  preschema.com 

location  Essen, Germany  
age  23  
visits  member for  5 years, 5 months 
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stats  profile views  1,511 
1d

comment 
is there a moduli of stable infinity categories?
@pro, thanks. I know that moduli stacks of dgcategories are discussed in To\"en's beautiful paper on derived Azumaya algebras, which has been generalized to a spectral stack parametrizing Rlinear categories for R a commutative ring spectrum by AntieauGepner. I don't think they discuss the type of issue you are interested in there, though. 
1d

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 leftexactness, right? 
1d

comment 
Homotopy pullback preserving functor
@FernandoMuro, the proposition in the paper says that the functor preserves fibrations in the model structure, not fibre sequences. 
1d

comment 
is there a moduli of stable infinity categories?
@pro, thanks! Would you mind also sharing the approximations that you found in the literature? 
1d

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 dgcategory?
edited tags 
May 13 
reviewed  Reject Regularity of simple ring extensions, subrings and quotients 
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 dgCat 
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 semiorthogonal decomposition of D^b_coh induces a semiorthogonal 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 email them to you. 
Apr 16 
answered  Does a fully faithful functor between triangulated categories induce embedding of their Grothendieck groups? 
Apr 9 
comment 
Algebraic Ktheory of complex varieties
Analytic descent for Ktheory 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 nonstrict 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 dgcategories also come from dgalgebras, by the way (from dgalgebras of finite type, even). 
Apr 6 
revised 
Integral transform on noncommutative spaces
minor correction 