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

Feb
11
revised Lifting DG-categories to characteristic zero
added tag "dg-categories"
Feb
11
suggested approved edit on Lifting DG-categories to characteristic zero
Feb
10
comment When are homotopy categories of model categories closed modules over the homotopy category of $(\infty, 1)$-categories?
@DavidWhite, the question of Hovey is about model structures on 2-categories, not about model structures on 2-relative categories. How is it relevant to this discussion?
Feb
10
answered When are homotopy categories of model categories closed modules over the homotopy category of $(\infty, 1)$-categories?
Feb
7
comment motivation of filtered colimits
The term "compact object" surely deserves a place in this answer.
Feb
4
comment Fourier-Mukai transforms on stacks
arxiv.org/abs/0805.0157, arxiv.org/abs/1312.7164
Feb
4
comment When are homotopy categories of model categories closed modules over the homotopy category of $(\infty, 1)$-categories?
Model categories enriched over SSet with the Quillen model structure are presentations of (infinity,1)-categories. Model categories enriched over SSet with the Joyal model structure are presentations of (infinity,2)-categories. See Remark 0.0.4 in [Jacob Lurie, (Infinity,2)-Categories and the Goodwillie Calculus I], arxiv.org/abs/0905.0462.
Jan
29
comment When is the cofibrant replacement of a product the product of the cofibrant replacements?
This is true for coconnective dg-algebras, according to arxiv.org/abs/1112.2360.
Jan
29
answered An example of two cofibrant dg categories whose tensor product is not cofibrant
Jan
23
comment Connection between quasifibrations and homotopy cartesian squares
Are you looking for something like this fibre-wise characterization: ncatlab.org/nlab/show/…?
Jan
21
awarded  Curious
Jan
20
asked Characterization of closed immersions at the level of perfect complexes
Jan
17
comment Motivation for cyclic (co)homology
One motivation for cyclic homology and its variants is the utility in computing algebraic K-theory. See for example the Goodwillie theorem, [T. Goodwillie, Relative algebraic K-theory and cyclic homology, Ann. Math. 124 (1986), 347–402].
Jan
16
comment Homological algebra is linearized homotopical algebra?
Homological algebra is the homotopy theory of chain complexes. The homotopy theory of chain complexes is equivalent to the homotopy theory of modules over the Eilenberg-Mac Lane spectrum $H\mathbf{Z}$. Hence homological algebra is a stable, linear version of the homotopy theory of spaces. See [Stefan Schwede, Brooke Shipley, Stable model categories are categories of modules, Topology 42 (2003), 103-153].
Jan
16
comment Relationship between Hochschild cohomology and Drinfeld centers
@SamuelM, according to Remark 1.5 in the paper, it seems that the Drinfeld centre of $D(A \otimes A^{op})$ will be the $\infty$-category of modules over the Hochschild chain complex of $A \otimes A^{op}$.
Jan
14
comment Relationship between Hochschild cohomology and Drinfeld centers
@SamuelM, I think I finally understood what you were really asking. I updated my answer again, let me know if that helps.
Jan
14
revised Relationship between Hochschild cohomology and Drinfeld centers
deleted 5 characters in body
Jan
13
comment Relationship between Hochschild cohomology and Drinfeld centers
@SamuelM, sorry, I wasn't very clear. I hope the updated answer is more helpful.
Jan
13
revised Relationship between Hochschild cohomology and Drinfeld centers
added 1689 characters in body
Jan
12
revised Relationship between Hochschild cohomology and Drinfeld centers
deleted 158 characters in body