Tannakian reconstruction

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August undefined, 2024

WebJan 26, 2024 · The motivation for our approach is two-fold: (1) the observation that relational schema induction is a form of Tannakian reconstruction , and (2) the fact that Tannakian reconstruction is a universal construction in the category theory sense . In this way, our theory derives from a category theory version of Tannakian reconstruction. 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 …

Tannaka duality in nLab

WebNov 22, 2012 · We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H, G, Φ) attached to a coradically-graded pointed Hopf algebra H and … WebOct 6, 2024 · Tannakian reconstruction of coalgebroids. Get access. Share. Cite. Summary. In this expository paper, we show that the Deligne–Mumford moduli space of stable curves is projective over Spec (Ζ). The proof we exposit is due to Kollár. Ampleness of a line bundle is deduced from nefness of a related vector bundle via the Ampleness Lemma, a ... crusha bottle

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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 ... WebDec 6, 2016 · Details in applying the Barr-Beck monadicity theorem to Tannakian reconstruction. The Barr-Beck monadicity theorem gives necessary and sufficient … WebJul 26, 2024 · Tannakian reconstruction of reductive group schemes. We give sharp criteria for when a reductive group scheme satisfies Tannakian reconstruction. When the base … crushable wool felt hunting hats

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WebJul 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... 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. crushable wool felt gambler hatWebOct 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 … built rite sheds huntington indiana

"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 ... " - Tannakian reconstruction

Tannakian reconstruction

[0711.1402] Tannaka-Krein reconstruction and a characterization …

WebFeb 4, 2024 · In a comment exchange around an answer to Is a group scheme determined by its category of representations? there arose the issue of Tannakian reconstruction for non-affine algebraic groups (e. g. abelian varieties, in particular, elliptic curves). WebLe 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!

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WebWe give sharp criteria for when a reductive group scheme satisfies Tannakian reconstruction. When the base scheme is Noetherian, we explicitly identify its Tannaka … 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 …

WebAug 1, 2024 · Details in applying the Barr-Beck monadicity theorem to Tannakian reconstruction Details in applying the Barr-Beck monadicity theorem to Tannakian reconstruction algebraic-geometry category-theory monoidal-categories monads 1,097 The Barr-Beck part of the proof is the following. WebJan 13, 2012 · A natural question in the theory of Tannakian categories is: What if you don’t remember Forget? Working over an arbitrary commutative ring R, we prove that an answer to this question is given by the functor represented by the étale fundamental groupoid π 1(spec(R)), i.e. the separable absolute Galois group of R when it is a field. This gives a …

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); ), … WebThe Tannakian reconstruction for schemes and more generally, geometric stacks from QCoh (X) with its tensor structure (due to Jacob Lurie) is explained in my answer to …

WebTannakian reconstruction poses the following question: give necessary and su cient con-ditions on a ne category schemes X and triples (C;R;F) for the above constructions to be …

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 … crushable wool felt cowboy hatWebFeb 28, 2016 · Tannakian Reconstruction February 28, 2016 March 5, 2016 Evan Chen (陳誼廷) Leave a comment These notes are from the February 23, 2016 lecture of 18.757, Representations of Lie Algebras, taught by Laura Rider. built rite sheds utahWebNov 25, 2016 · on Tannakian categories. The main theorem is a Tannakian reconstruction theorem, which repairs a problem in the book N. Saavedra Rivano, Catégories Tannakiennes, Springer LNM 265, 1972 which had a substantial gap in the proof of the main theorem. crushabull holstein sireWebOn 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- built rite sheds louisville kyWebJul 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 … crushable wool felt hats for menWebSep 6, 2024 · Alexander L. Rosenberg (or Sasha Rosenberg) who was a professor until 2012 at Kansas State University. Sasha Rosenberg had defended in 1973 dissertation at Moscow State University studying Tannakian reconstruction theorems, mainly using methods of functional analysis. His main goals were in representation theory. crusha cat advertWebTannakian 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 crushable yes