Tannakization in derived algebraic geometry

@inproceedings{Iwanari2011TannakizationID,
  title={Tannakization in derived algebraic geometry},
  author={Isamu Iwanari},
  year={2011}
}
We give a universal construction of a derived affine group scheme and its representation category from a symmetric monoidal infinity-category, which we shall call the tannnakization of a symmetric monoidal infinity-category. This can be viewed as infinity-categorical generalization of the work of Joyal-Street and Nori. We then apply it to the stable infinity-category of mixed motives equipped with the realization functor of a mixed Weil cohomology and obtain a derived motivic Galois group whose… CONTINUE READING

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