Tannakian reconstruction

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August undefined, 2024

WebOct 6, 2024 · We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how … WebOn Tannakian duality over valuation rings Torsten Wedhorn Mathematisches Institut Bonn, Beringstraße 4, 53115 Bonn, Germany ... The reconstruction problem: given a “group-like” object G (e.g., a group scheme, a gerbe, a quantum group), is it possible to recover G from the category of its rep-

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WebProof. The claim is that this theorem is precisely Tannakian reconstruction for Tam-bara modules. We rst note that, by de nition, the functor U (A;B) is represented by Optic((A;B); ), … WebYou can see how Tannian families moved over time by selecting different census years. The Tannian family name was found in the USA, the UK, and Scotland between 1871 and 1920. … gif i am the captain now

Algebraic Groups and Tannakian Categories

WebReconstruction of a variety from the derived category and groups of autoequivalences. Compositio Math. 125(3):327-344, 2001, DOI 10.1023/A:1002470302976, zbl 0994.18007, MR1818984, arxiv alg-geom/9712029. WebTannaka's theoremprovides a way to reconstruct the compact groupGfrom its category of representations Π(G). Let Gbe a compact group and let F:Π(G) → VectCbe the forgetful … WebJul 29, 2024 · Classical Tannakian reconstruction recovers an affine group scheme $G$ over $k$ from the category of its linear representations over a field $k$ (as the automorphism group of the forgetful functor to the category $Vect_k$ of finite-dimensional vector spaces over $k$ .) This has many generalizations in the literature as I am slowly … gifi adjustment years settlement cra

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Tannakian reconstruction of Tambara modules

WebBackground. The famous Tannakian reconstruction theorem says that an algebraic group can be recovered from its representation category. To be a bit more precise, ﬁx an algebraically closed ﬁeld k. A pre-Tannakian category is a k-linear abelian category equipped with a symmetric tensor structure satisfying some axioms. A Tannakian … WebWe give sharp criteria for when a reductive group scheme satisfies Tannakian reconstruction. When the base scheme is Noetherian, we explicitly identify its Tannaka … fruitville weatherWebApr 23, 2024 · On the other hand there are lots of reconstruction theorems whose gist tend to be that a scheme is determined by its (derived) category of sheaves, e.g. Tannaka dualities and the Gabriel-Rosenberg reconstruction theorem. How do these not contradict each other? algebraic-geometry sheaf-theory abelian-varieties derived-categories Share … gif i am the law

"WebTannakian equivalence to eventually identify Hwith the Langlands dual group G_. We begin by enumerating some of the visible properties of the category Rep k (G) for a reductive algebraic group G, as a means of motivating the statement of the Tannakian reconstruction theorem. This is an abelian, k-linear category (i.e. hom " - Tannakian reconstruction

Tannakian reconstruction

WebTannakian formalism. In mathematics, a Tannakian category is a particular kind of monoidal category C, equipped with some extra structure relative to a given field K. The role of such … WebThe Tannakian reconstruction techniques used in our paper is useful in more general situations concerning derived categories of representations, see Remark 3.0.7. 1.1 Warning This note is only about reconstruction of the stacky approach to de Rham cohomology. We do not make any claims about reconstruction of the stacks Σ,Σ′,Σ′′ from ...

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WebNov 9, 2007 · In order to arrive at this characterization of modular categories, we develop a generalization of Tannaka-Krein reconstruction to the long version of the canonical … WebJul 30, 2011 · Doctrinal and Tannakian Reconstruction Posted by David Corfield Interest in doctrines at the Café goes right back to one of its earliest posts nearly five years ago, and even to one a few days earlier. We’ve begun to record some material at the doctrine page in nLab, but I’m sure there’s more wisdom from the blog to be extracted.

WebDec 6, 2016 · Details in applying the Barr-Beck monadicity theorem to Tannakian reconstruction. The Barr-Beck monadicity theorem gives necessary and sufficient … WebMar 16, 2024 · Classically, Tannaka-Krein duality allows us to reconstruct a (co)algebra from its category of representation. In this paper we present an approach that allows us to generalise this theory to the setting of Banach spaces. This leads to several interesting applications in the directions of analytic quantum groups, bounded cohomology and …

WebTannakian reconstruction of reductive group schemes, 2024; p-Torsion étale sheaves on the Jacobian of a curve, 2024; Maximally Frobenius-destabilized vector bundles over smooth … Websurprisingly similar to Tannakian reconstruction; we will prove the theorem following the proof of Tannakian reconstruction (for, say, groups). The proof written in this way is similar to the one used by Riley [Ril18]. Theorem 3. Let U (A;B): ˜ !Sets the functor that evaluates a Tambara module on the object (A;B). There exists an isomorphism ...

WebTannakian categories, which is the last step towards the main theorem of this book, the Tannaka-Krein duality theorem, that we introduce in Chapter 6. These last two chapters show the reader the importance of Tannakian Categories, following a very constructive introduction to these, starting with abelian categories and ending up

WebApr 13, 2024 · In a paper of Deligne ‘Tannakian categories’ are defined, which are just monoids (actually tensor cats) w certain data making them isomorphic to categories of reps & equipped with a fibre functor forgetting their action on some C. They therefore generalise the reconstruction thm gif ianWebJul 15, 2011 · Daniel Schäppi discusses the semantics-structure adjunction in Tannaka duality for comonoids in cosmoi. The functor which sends a comonad to its category of … fruit vinegar hair dye side effectsWebJul 14, 2024 · In this short paper, we use Tannakian reconstruction techniques to prove a result that explains how to reconstruct the stacky approach to de Rham cohomology from the classical theory of algebraic... gif i am the machineWebJul 22, 2024 · 1 You can consider the Tannakian category of "finite vector bundles" in the sense of Nori, see his paper "On the representations of the fundamental group" in … fruit vinegar bottlesWebLe migliori offerte per Stacks Project Expository Collection, Paperback di Belmans, Pieter (EDT); Ho,... sono su eBay Confronta prezzi e caratteristiche di prodotti nuovi e usati Molti articoli con consegna gratis! gif i am watching you fruitville walk-in urgent care sarasota flWebJul 26, 2024 · Tannakian reconstruction of reductive group schemes. We give sharp criteria for when a reductive group scheme satisfies Tannakian reconstruction. When the base … fruitville walk in clinic sarasota fl