Tannakization in derived algebraic geometry

Details Tannakization in derived algebraic geometry Tannakization in derived algebraic geometry

2011-12-08

arxiv.org/abs/1112.1761v1

Mathematics

Algebraic Geometry

Scientific paper

We give a certain universal construction of derived affine group schemes from symmetric monoidal $\infty$-categories, which we shall call the tannnakization of symmetric monoidal $\infty$-categories. This generalizes the work of Joyal-Street and Nori to the setting of $(\infty,1)$-categories. We then apply this construction to the stable $\infty$-category of mixed motives (in the sense of Voevodsky) and obtain a derived motivic Galois group associated to mixed Weil cohomology. We also treat the tannakization of topological spaces.

Affiliated with

Also associated with

No associations

Rating

Tannakization in derived algebraic geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tannakization in derived algebraic geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tannakization in derived algebraic geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-547410