Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tannakization in derived algebraic geometry   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 representation category has a
universality, and which represents the automorphism group of the realization
functor. Also, we present basic properties of derived affine group schemes in
Appendix.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph