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Quasi-Coherent Sheaves and Tannaka Duality Theorems

Context

Higher geometry

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Ingredients

Concepts

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Constructions

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Examples

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  • derived smooth geometry

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Theorems

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Higher algebra

Algebraic theories

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Algebras and modules

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Higher algebras

  • symmetric monoidal (∞,1)-category of spectra

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Model category presentations

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Geometry on formal duals of algebras

Theorems

This page provides links related to

  • Jacob Lurie, Quasi-Coherent Sheaves and Tannaka Duality Theorems

    _ (pdf)

On quasi-coherent sheaves and Tannaka duality for geometric stacks in the context of derived algebraic geometry over E-infinity ringsE-∞ geometry

Contents

1. Generalities on spectral Deligne-Mumford stacks

1.4 Quasi-compactness of Spectral Deligne-Mumford stacks

Example

cor. 1.4.3

A spectral scheme or spectral Deligne-Mumford stack, regarded as a structured (∞,1)-topos is locally coherent.

2. Quasi-coherent sheaves

2.1 Sheaves on a spectrally ringed \infty-topos

2.2 Module geometries

2.3 Quasi-coherent sheaves

2.4 Quasi-affine spectral Deligne-Mumford stacks

2.5 Pullbacks and pushforwards of quasi-coherent sheaves

2.6 Local properties of quasi-coherent sheaves

2.7 Quasi-coherent sheaves on a functor

3. Geometric stacks and Tannaka duality

4. Coaffine stacks

5. Tannaka duality for generalized algebraic gerbes

category: reference

Last revised on June 2, 2014 at 23:39:11. See the history of this page for a list of all contributions to it.