English

Tannaka duality and stable infinity-categories

Algebraic Geometry 2018-04-18 v3 Algebraic Topology Number Theory

Abstract

We introduce a notion of fine Tannakian infinity-categories and prove Tannakian characterization results for symmetric monoidal stable infinity-categories over a field of characteristic zero. It connects derived quotient stacks with symmetric monoidal stable infinity-categories which satisfy a certain simple axiom. We also discuss several applications to examples.

Keywords

Cite

@article{arxiv.1409.3321,
  title  = {Tannaka duality and stable infinity-categories},
  author = {Isamu Iwanari},
  journal= {arXiv preprint arXiv:1409.3321},
  year   = {2018}
}

Comments

The final version. Published in Journal of Topology, Wiley 2018

R2 v1 2026-06-22T05:54:08.608Z