Tensor triangular geometry homepage
Web16 Mar 2024 · My research focusses on quantum integrable models connected with solutions of the Yang-Baxter equation. The latter include exactly solvable lattice models in … Web4 Feb 2024 · tensor triangular geometry for quantum groups 11 category of all gr u ζ ( u )-modules and mo d(gr u ζ ( u )) denote the full sub category of all finite- dimensional gr u ζ …
Tensor triangular geometry homepage
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WebA GUIDE TO TENSOR-TRIANGULAR CLASSIFICATION PAUL BALMER Abstract. This is a chapter of the Handbook of Homotopy Theory, that surveys the classi cations of thick tensor-ideals. 1. Introduction Stable homotopy theory shines across pure mathematics, from topology to anal-ysis, from algebra to geometry. While its liturgy invokes Quillen model ... Webtriangular methods in the strong sense: The statement does not involve triangu lated categories, whereas the proof does. Finally, this result cannot hold integrally, as we show in Example 4.9 for the quaternion group Q8 1. Elements of tensor triangular geometry Definition 1.1. A tensor triangulated category (9C, 0,1) is a triangulated cate
Web15 Jan 2010 · We present some results on equivariant KK-theory in the context of tensor triangular geometry. More specifically, for G a finite group, we show that the spectrum of the tensor triangulated subcategory of KK^G generated by the tensor unit contains as a retract a canonical copy of the Zariski spectrum of the complex character ring of G. For G trivial, … WebTensor Triangular Geometry with Applications to Classical Lie Superalgebras Daniel K. Nakano (joint work with Brian Boe and Jonathan Kujawa) Department of Mathematics …
Webgeneral preliminaries on triangulated categories, tensor triangular geometry and the various elements of algebraic geometry we will use. §3.1 contains our construction of relative … WebDaniel K. Nakano (UGA) Tensor Triangular Geometry 21 / 37. gl(mjn) Example The underlying vector space for g = gl(mjn) is the set of (m + n) (m + n) matrices over C. We have g 0 ˘=gl(m) gl(n), where g 0 consists of matrices of the form: A 0 0 B : Moreover, g 1 consists of matrices 0 C D 0 : The supercommutator is given by [E i;j;E k;l] = E i;jE
WebÉpijournal de Géométrie Algébrique epiga.episciences.org Volume 6 (2024), Article No. 18 A characterization of nite étale morphisms in tensor triangular geometry
Web28 Sep 2024 · Tensor triangular geometry asks us to think of symmetric monoidal triangulated categories like rings, and in return provides us with an analogue of affine al... record player phono inputWeb15 Feb 2014 · Tensor triangular geometry as introduced by Balmer is a powerful idea which can be used to extract the ambient geometry from a given tensor triangulated category. … record player on bar cartWeb1 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 thick tensor ideals" of K. record player needle skipsWebTensor triangular geometry as introduced by Balmer has played a unifying role in understanding the interrelationships between representation theory, homological algebra and commutative ring theory/algebraic geometry. In [ 20 ], the authors developed a noncommutative version of Balmer’s tensor triangular geometry [ 2 ]. u of a alumniWeb14 Feb 2024 · Abstract 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 … uofa architecturehttp://www.open3d.org/docs/release/python_api/open3d.t.geometry.TriangleMesh.html record player plays slightly fasterWebThe second half of the program will be an introduction to the theory of tensor triangular geometry and its applications, leading up to a sketch of the proof of theorem 1. In summary, the goals of the program are to (i)understand fundamental examples of abelian categories, categories of chain com-plexes and resolutions of objects; u of a aro