English

Tannaka duality revisited

Algebraic Geometry 2015-07-08 v1 Algebraic Topology

Abstract

We establish several strengthened versions of Lurie's Tannaka duality theorem for certain classes of spectral algebraic stacks. Our most general version of Tannaka duality identifies maps between stacks with exact symmetric monoidal functors between \infty-categories of quasi-coherent complexes which preserve connective and pseudo-coherent complexes.

Keywords

Cite

@article{arxiv.1507.01925,
  title  = {Tannaka duality revisited},
  author = {Bhargav Bhatt and Daniel Halpern-Leistner},
  journal= {arXiv preprint arXiv:1507.01925},
  year   = {2015}
}

Comments

25 pages, comments welcome

R2 v1 2026-06-22T10:07:32.176Z