Tensor triangulated category
WebIn this talk, I will give an introduction to factorization homology and equivariant factorization homology. I will then discuss joint work with Asaf Horev and Foling Zou, with an WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange
Tensor triangulated category
Did you know?
Web26 Sep 2014 · Since {\underline {\sf {CM}} k (G\propto\mathcal {P})} is also tensor triangulated, we compute its spectrum as well. These spectra are used to classify tensor … Web10 Apr 2024 · As one of the most important components of urban space, an outdated inventory of road-side trees may misguide managers in the assessment and upgrade of urban environments, potentially affecting urban road quality. Therefore, automatic and accurate instance segmentation of road-side trees from urban point clouds is an …
WebCategory : Representations of algebras Publisher : Springer Science & Business Media ... a Computational Approach.- 5 Problems in the Calculation of Group Cohomology.- 6 On a Tensor Category for the Exceptional Lie Groups.- 7 Non-Commutative Gröbner Bases and Anick's Resolution.- 8 A new Existence Proof of Janko's Simple Group J4.- 9 The ... Web24 Sep 2024 · For a compact Lie group G, primes in the tensor-triangulated category of finite rational G-spectra are in bijection with the set Sub(G)/G of conjugacy classes of closed subgroups of G (a lecture of Henning’s gave me the key to proving this). With the Zariski topology Sub(G)/G becomes a spectral space, and the talk will give several ...
WebTensor 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 product : K K !K which is exact in each variable with unit object 1. Daniel K. Nakano (UGA) Tensor Triangular Geometry 7 / 37 Webcategory K of such objects, and We regard two objects as equivalent if they can be built from each other using the tensor-triangulated structure of the stable category. Technically, this amounts to a classi cation of the thick triangulated tensor-ideal subcategories (\thick -ideals") of K X;Y 2K are equivalent i hXi= hYi
WebTo open this conference on triangulated categories and applications, we first describe how triangulated cate-gories arose in algebraic topology. Thus we explain the process that leads from topological spaces to specta to the stable homotopy category. The stable homotopy category is a compactly generated tensor triangulated category.
Web28 Jun 2024 · The tensor structure is the one we have met before, through monoidal categories, but the triangulated structure we have not yet explored in our mathematical endeavors on this blog. So, lets change that fact. To justify it’s name, triangulated … cheongs supermarketWebIn all these cases the model categories are stable and the homotopy categories are not only equivalent as categories but as triangulated categories. Daniel Dugger and Brooke Shipley give an example in their paper. A curious example of triangulated-equivalent model categories which are not Quillen equivalent. available here. cheongs st albansWebTorsion models for tensor-triangulated categories Jordan Williamson University of She eld I will describe how to build a model for (su ciently well-behaved) tensor-triangulated categories from the data of torsion and local objects determined by their Balmer spectra. The idea is to mirror constructions in commutative algebra cheongster clan communityWebThe triangulated homotopy category of spectra [ edit] The stable homotopy category is additive: maps can be added by using a variant of the track addition used to define homotopy groups. Thus homotopy classes from one spectrum to … cheongsong south koreaWeb29 Jul 2015 · Many triangulated categories which show up in mathematics, such as derived categories of various sorts, arise as the homotopy category of a stable ∞ -category. … flights from cleveland to orlando sanfordWeb2 Sep 2014 · We show that in an essentially small rigid tensor triangulated category with connected Balmer spectrum there are no proper non‐zero thick tensor ideals admitting strong generators. This proves, for instance, that the category of perfect complexes over a commutative ring without non‐trivial idempotents has no proper non‐zero thick … flights from cleveland to orlando floridaWebTo do so, users select a point in a triangulated dimensionally-reduced plot. The selected setting is found by barycentric interpolation. Kerr et al. tested sliders against a gallery-based system in a user study. The latter worked such that the user selects two dimensions and then sees a 5 × 5 gallery of the output with the two parameters step ... cheongster meaning