Moduli of objects in dg-categories
Web14 mrt. 2005 · In this paper we show that every object in the dg-category of relative singularities Sing (B, f) associated to a pair (B, f), where B is a ring and f ∈ B^n , is equivalent to a retract of a K (B, f)-dg… Expand 3 PDF On the triangulated category of DQ-modules François Petit Mathematics 2012 WebWe show that given such a system on a dg-category T, we can construct an algebraic space M, of finite type, smooth and separated, together with a dg-functor from T to a certain twisted dg-category...
Moduli of objects in dg-categories
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WebA dg-category is a generalization of a linear category in the sense that it consists of a set of objects together with complexes of morphisms between two objects, and composition … Webtheory for dg categories [146]. In their joint work [147], To¨en and Vaqui´e have applied this to the construction of moduli stacks of objects in dg categories, and notably in categories of perfect complexes arising in geometry and representation theory. Thanks to [146], [82] and to recent work by Tamarkin [140], we are perhaps getting
Web29 jun. 2024 · Problem summary: I'm trying to get some intuition for what the moduli space of objects for a dg-category (as in this paper by Brav and Dyckerhoff) ... generalizing from dg-categories to $\mathcal V$-categories, with $\mathcal V$ monoidal model category. 5. WebTo any dg-category $T$ (over some base ring $k$), we define a $D^{-}$-stack $\mathcal{M}_{T}$ in the sense of \cite{hagII}, classifying certain $T^{op}$-dg-modules. …
WebModuli of quiver representations form indeed a large and fruitful class of applications in this area, and will serve as an ongoing example in the present study. More generally, moduli of objects of nite type dg-categories, as de ned by To en{Vaqui e [40], encompass quiver representations and provide a lot more examples to play with. Web4.1 The category of dg categories A dg functor F between two dg categories A;Bis a functor respecting the dg structure of the morphism spaces, i.e. such that A(X;Y) !B(FX;FY) is a morphism in C(k) for every pair of objects. This allows us to consider the category of dg categories. For set-theoretic reasons it is wise to restrict to (essentially)
Web1 mei 2007 · When it exists, such a geometric object m C will be called a moduli space of objects in C. A well understood example is when C = A-mod is the category of finite dimensional modules over a finitely generated associative algebra A (over some algebraically closed field k).
Web1 jul. 2024 · The underlying 1-category, with presentable dg categories as objects and continuous dg functors as 1-morphisms, is denoted { {\text {DGCat}}}_ {\text {cont}}. We denote by { {\text {Fun}}} the relative Hom adjoint to tensor product. 1 The unit with respect to the tensor product is the dg category {\text {Vect}}_ {k} of dg vector spaces. hands on systematic innovation pdfWebThis is the first part of a research project whose purpose is the study of moduli spaces (or rather stacks) of objects in a triangulated category of geometric or algebraic origin (for businesses in frisco txWeba gluing statement, providing a way to glue objects in dg-categories in a situation where it is not possible to glue objects in derived categories. To finish I will present the notion of … hands on shoulders poseWebModuli of objects in dg-categories Toën, Bertrand ; Vaquié, Michel. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 3, pp. 387-444. ... The homotopy theory of dg-categories and derived Morita … hands on sweets tampaWebThe purpose of this work is to prove the existence of an algebraic moduli classifying objects in a given triangulated category. To any dg-category T (over some base ring k), … hands on systematic innovationWebA dg-category is a generalization of a linear category in the sense that it consists of a set of objects together with complexes of morphisms between two objects, and composition maps preserving the linear and differential structures. hands on sweets tampa flWeb19 mei 2024 · moduli spaces birational geometry stacks and higher stacks derived stacks \infty-categories dg-categories model categories derived dg-categories moduli problems simplicial algebras dg-algebras de Rham cohomology Hochschild and cyclic cohomology minimal model program rationality derived categories fibrations degenerations vanishing … hands on summer camp