2024 Tensor triangulated geometry

Tensor triangulated geometry

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Web4 Jan 2013 · In recent decades, the theory of tensor triangulated geometry has been studied and developed; see [1, 5, 6] for instance. It has important applications in algebraic geometry, algebraic topology ... Web1 Oct 2024 · There is also a general fact that the homotopy category of a stable model category is always triangulated, hence S H C is a triangulated category! The triangles …

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Webniques from algebraic geometry to modular representation theory like gluing and the Picard group[5]. One question that naturally arises is how good is Spec as an invariant of the … Web4 Feb 2024 · A tensor triangulated category (TTC) is a triple (K, ⊗, 1) such that (i) K is a triangulated c ategory, and (ii) K has a braide d 1 monoidal tensor pr oduct ⊗ : K × K → K … trublue belay

Representation Theory and Triangulated Categories - Abstracts

WebTENSOR TRIANGULAR GEOMETRY 3 Talk 3: Triangulated categories and localization This talk introduces the triangulated categories and their localizations. Most importantly, it … WebThe focus of this study are tensor triangulated categories in algebraic geometry. The starting point was Balmer’s paper [3] which de ned a ringed space for any given tensor … trublue birmingham al

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Greg Stevenson: Tensor triangular geometry - Lecture 3 - YouTube

WebWe compute the tensor triangular spectrum of perfect complexes of filtered modules over a commutative ring and deduce a classification of the thick tensor ideals. We give two … http://arxiv-export3.library.cornell.edu/pdf/2211.04139v1 trubok clothingWebVarious authors classified the thick triangulated ⊗-subcategories of the category of compact objects for appropriate compactly generated tensor triangulated categories by … trubo feat

"Web7 Mar 2024 · . For a tensor triangulated category and any regular cardinal α we study the frame of α -localizing tensor ideals and its associated space of points. For a well-generated category and its frame of localizing tensor ideals we provide conditions such that the associated space is obtained by reﬁning the topology of the corresponding space for the … " - Tensor triangulated geometry

Tensor triangulated geometry

Tensor triangulated categories Writing what I

Web16 Mar 2024 · Masterclass: Tensor triangular geometry and equivariant stable homotopy theory University of Copenhagen, 12-16 March 2024. The goal of this Masterclass is to … WebStratification in tensor triangular geometry with applications to spectral Mackey functors - with Tobias Barthel, and Beren Sanders. To appear in Cambridge Journal of Mathematics. …

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Web27 Jan 2024 · 640:135 - Calculus I ; 640:151-152 - Calculus I for the Mathematical and Physical Sciences ; 640:311:H1 - Introduction to Real Analysis I WebWe compute the Balmer spectra of compact objects of tensor triangulated categories whose objects are ﬁltered or graded objects of (or sheaves valued in) another tensor …

WebA guide to tensor-triangulated classification. Tensor triangulated geometry. A recent online lecture given by Drew Heard can be found here. The image on the left is due to Balmer and … http://bifibrant.com/

Web14 Feb 2024 · We examine the concept of field in tensor-triangular geometry. We gather examples and discuss possible approaches, while highlighting open problems. As the construction of residue tt-fields remains elusive, we instead produce suitable homological tensor-functors to Grothendieck categories. Download to read the full article text. Web1 Nov 2024 · Tensor triangulated geometry is a theory introduced by Balmer [1] to study tensor triangulated categories by algebro-geometric methods. Let ( T, ⊗, 1) be an essentially small tensor triangulated category (i.e., a triangulated category T equipped with a symmetric monoidal tensor product ⊗ which is compatible with the triangulated …

Web23 Mar 2024 · Abstract Given a tensor triangulated category we investigate the geometry of the Balmer spectrum as a locally ringed space. Specifically we construct functors …

Web1 Jun 2011 · Tensor Triangular Geometry. We survey tensor triangular geometry : Its examples, early theory and first applications. We also discuss perspectives and suggest … trublue birminghamWeb1 Jan 2010 · The study of tensor triangular geometry was begun by Paul Balmer in [1], where he associated to a tensor triangulated category (K, ⊗, 1) a spectrum Spec(K) of "prime … trubodywellness.comWebof group-like elements possess the tensor product property. 2 Preliminaries on Noncommutative Tensor Triangular Geometry 2.1 Monoidal triangulated categories We follow the conventions in [20]. A monoidal triangulated category (M C for short) is a monoidal category K in the sense of [12, Definition 2.2.1], which is triangulated and trubolt keyless entry not workingWeb25 May 2024 · Working group: tt-geometry, WS 2024/21 and WS 2024/22. Time and place: Wednesday afternoon in V5-227 or as indicated. ... Janina Letz: The spectrum of a well-generated tensor triangulated category 24 May, 16:00 in T2-149 Henning Krause: Fibrewise stratification of group representations trubner and companyWebTENSOR-TRIANGULATED CATEGORIES CHARALAMPOS VERASDANIS Abstract. We develop the theory of costratiﬁcation in the setting of relative tensor-triangular geometry, in the sense of Stevenson, providing a uniﬁed ap-proach to classiﬁcation results of Neeman and Benson–Iyengar–Krause, while laying the foundations for future applications. trublue total house care youtubeWebTensor Triangulated Categories De nition A tensor triangulated category (TTC) is a triple (K;;1) such that (i) K is a triangulated category, (ii) K has a symmetric monodial tensor … trubody fitnessWebThe focus of this study are tensor triangulated categories in algebraic geometry. The starting point was Balmer’s paper [3] which de ned a ringed space for any given tensor triangulated category. The most important example of such struc-tures in algebraic geometry is the derived category of (quasi-)coherent sheaves on a scheme X. trubolt wedge anchor technical data