Gluing approximable triangulated categories
WebAug 26, 2024 · Approximable triangulated categories. This talk will introduce a new machine: approximable triangulated categories. The applications so far are: (1) Proofs of conjectures of Bondal, Van den Bergh and Rouquier about strong generation, and (2) A really short, one-page proof of Serre’s old GAGA theorem. In my ARC application I made … Webby (reasonable) equivalence relations. In this handout we explain some general gluing procedures, and we give some examples. Since the Hausdorff property of a space is …
Gluing approximable triangulated categories
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WebJun 14, 2024 · Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be … WebGiven a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be very useful. Recently, a modified version of this was introduced in triangulated categor
WebGluing Approximable Triangulated Categories with Jesse Burke and Amnon Neeman. The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras with Joanna Meinel, Van C. Nguyen, Maria Julia Redondo and Andrea Solotar. Journal of Algebra 580 (2024), 264-298. Quasi-Galois theory in symmetric-monoidal … WebJun 14, 2024 · A triangulated category is approximable if this modified procedure is possible. Not surprisingly this has proved a powerful tool. For example: the fact that the derived category of a quasi compact, separated scheme is approximable has led to major improvements on old theorems due to Bondal, Van den Bergh and Rouquier. In this …
Webrecollement of triangulated categories Roo /Soo /T with Rand Tapproximable. Assume further that the category Sis compactly generated, and any compact object H ∈Shas the property that Hom H,H[i] = 0 for i ≫0. Then the category Sis also approximable. Amnon Neeman (ANU) Triangulated categories via metric techniques, 3 24 March 20248/126 WebAmnon Neeman (ANU) Approximable Triangulated Categories April 28, 2024 18 / 72. Source of homological functors Let Tbe a triangulated category, and assume A 2Tis any object. Then the functors Hom(A; ) and Hom( ;A) are homological. Remark For the next two theorems we will suppose R is a noetherian ring, and X is
WebA triangulated category is emph{approximable} if this modified procedure is possible. Not surprisingly this has proved a powerful tool. For example: the fact that the derived …
WebNov 18, 2024 · And then come two types of theorems: (1) theorems providing examples, meaning showing that some category you might naturally want to look at is … toddler and infant boys matching pajamasWebtriangulated) categories. An example of a limit is gluing: imagine that you want to glue the 1/triangulated category of quasi-coherent sheaves on a scheme Xfrom an a ne cover. Below we will explain why just the above operation of gluing along an open cover unavoidably appears in the theory that we are trying to build. toddler and kid traits sims 4Webcategory can be thought of as a category where many objects are the limits of their Fourier expansions. And then come two types of theorems: (1) theorems providing examples, meaning showing that some category you might naturally want to look at is approximable, and (2) general structure theorems about approximable triangulated toddler and kids boys clothes sims 4 ccWebGluing approximable triangulated categories with Amnon Neeman and Bregje Pauwels. Submitted, 18 pages. Transfer of A-infinty structures to projective resolutions Preprint, 20 … toddler and new babyWebJun 19, 2024 · Approximable triangulated categories. In this survey we present the relatively new concept of \emph {approximable triangulated categories.} We will show that the definition is natural, that it leads to powerful new results, and that it throws new light on old, familiar objects. In particular: a recent theorem says that the category is ... toddler and kids sims 4 ccWebA triangulated category is emph{approximable} if this modified procedure is possible. Not surprisingly this has proved a powerful tool. For example: the fact that the derived category of a quasi compact, separated scheme is approximable has led to major improvements on old theorems due to Bondal, Van den Bergh and Rouquier. toddler and mom matching dressesWebJul 13, 2024 · The authors believe that the weight structure view on this matter can be useful since weight structures ‘‘glue’’ and ‘‘localize’’ well (one may say that ‘‘weight structures localize ... The writing of this note was motivated by the nice properties of approximable triangulated categories established in . So now we will say a ... toddler and me classes near me