Tannakian reconstruction
WebTan Yankai was born on 25 January 1880 in Hangzhou during the waning decades of the Qing dynasty.He was the son of the Qing minister Tan Zhonglin.A member of Liang … WebMar 30, 2024 · We consider now various types of size constraints on tensor categories. The Tannaka reconstruction theorem (theorem below) only assumes one of them (subexponential growth, def. ), but the others appear in the course of the proof of the theorem. finiteness (def. ) finite ⊗ \otimes-generation (def. ) subexponential growth (def. )
Tannakian reconstruction
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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 … 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 ...
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. 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 … 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.
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.
WebNov 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. is it houses or house\u0027sWebTannakian 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 is it hot today or coldWebSep 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. is it hot tomorrowWebAug 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. is it house plant or houseplantWebApr 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 … kesha ghost hunting showWebOct 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 ... is it hot todayWebBackground. 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 … kesha ghost hunting