2024 Gluing approximable triangulated categories

Gluing approximable triangulated categories

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August undefined, 2024

WebJun 13, 2024 · Request PDF Gluing Approximable Triangulated Categories Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a … WebJun 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 ...

Bregje Pauwels

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 … Webcategories by gluing t-structures via recollements. Our results on gluing partial silting sets are based on a technical criterion (theorem 6.3), which allows to glue partial silting sets T X and T Y in triangulated categories X and Y with respect to a recollement (Y≡D≡X). Conditions of theorem 6.3 are easier to check when T X and T shuttle zignbox

How to glue derived categories SpringerLink

WebGLUING RESTRICTED NERVES OF ∞-CATEGORIES 3 We say that a subset E⊆ Ar(C) is admissible (Deﬁnition 3.18) if Econtains every identity morphism, E is stable under … 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 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 … shuttle youtube

Triangulated Categories via metric techniques, 3

arXiv:1806.06995v2 [math.CT] 24 Jun 2024

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 … WebIn mathematics, the gluing axiom is introduced to define what a sheaf on a topological space must satisfy, given that it is a presheaf, which is by definition a contravariant … the park santa monica cahttp://export.arxiv.org/abs/1806.05342v2 the parks apartments orlando

"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 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 article we ... " - Gluing approximable triangulated categories

Gluing approximable triangulated categories

[1806.06995] Approximable triangulated categories - arXiv

WebThe deﬁnition of approximable triangulated categories relies on the following building blocks: compact generators in triangulated categories and t–structures. We have an extensive background section introducing these—we recommend that beginners skip the remainder of the introduction and move on to Section 2. The introduction of an article 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 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.

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WebAug 26, 2024 · Approximable triangulated categories. This talk will introduce a new machine: approximable triangulated categories. The applications so far are: (1) Proofs … 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

WebGLUING APPROXIMABLE TRIANGULATED CATEGORIES JESSE BURKE, AMNON NEEMAN, AND BREGJE PAUWELS Abstract. Given a bounded-above cochain complex … WebFeb 7, 2024 · We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it …

WebGluing approximable triangulated categories (with Amnon Neeman and Bregje Pauwels)- arXiv: 1806.05342, 18 pages, preprint. 9. Transfer of A-in nity structures to projective resolutions - arXiv:1801.08933, 20 pages, preprint. 8. Strictly unital A-in nity algebras - Journal of Pure and Applied Algebra, 222 (12), 4099-4125. 7. Golod rings and ... 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 …

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WebGluing approximable triangulated categories with Amnon Neeman and Bregje Pauwels. Submitted, 18 pages. Transfer of A-infinty structures to projective resolutions Preprint, 20 pages. Strictly unital A-infinty algebras Journal of Pure and Applied Algebra, Dec. 2024, 26 … the parks at aledoWebNov 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 approximable, and (2) general structure theorems about approximable triangulated categories. And what makes it all interesting is (3) applications. These turn out to include the proof of a … the park san francisco hotelhttp://math.stanford.edu/~conrad/diffgeomPage/handouts/gluing.pdf the parks arlington txWebAmnon Neeman (ANU) Approximable Triangulated Categories 2 September 202417/104. Heuristic, continued We will soon be assuming that the metric is non-archimedean. … shuttle zignbox gl01WebGiven 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 shuttle yvr to chilliwackWebby (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 … shuttle yuma to phoenix airportWebJul 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 ... the park santa monica pricing