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Timeline for Tannakian Formalism

Current License: CC BY-SA 2.5

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Sep 20, 2012 at 2:52 comment added M Turgeon Just to make it clear: the category of quasi-coherent sheaves determines the scheme in all cases, not just in the quasi-seperated, quasi-compact case (as for example in the Gabriel-Rosenberg theorem)?
Mar 3, 2010 at 23:30 comment added David Ben-Zvi This is only meant to cover reconstruction theorems for symmetric monoidal categories (or their homotopical analogues), not eg the Gabriel-Rosenberg type reconstructions for abelian categories or the Bondal-Orlov reconstructions for derived categories.
Mar 3, 2010 at 20:17 comment added Zoran Skoda Not all reconstruction theorems could possibly fit into such a neat interpretation: while some important spectra have functoriality in the direct image direction, some others have in the inverse image direction. Some important spectra are even not compatible with localizations, what is expected in nice commutative sheaf theoretic situations.
Oct 30, 2009 at 20:52 history edited Anton Geraschenko CC BY-SA 2.5
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Oct 30, 2009 at 19:10 history answered David Ben-Zvi CC BY-SA 2.5