Higher Tannaka and Beyond
Algebraic Geometry
2013-03-14 v1
Abstract
We consider the origins of Higher Tannaka duality, as well as it consequences. In a first time we review the work of J. Wallbridge on that subject, which shows in particular that Hopf algebras are essential to generating Tannakian infinity-categories. While doing so we provide an analysis of what it means for Higher Tannaka to be a reconstruction program for stacks. Putting Wallbridge's work in perspective paves the way for causal models in Higher Category Theory. We introduce two interesting concepts that we deem to be instrumental within this framework; that of blow-ups of categories as well as that of fractal infinity-categories.
Cite
@article{arxiv.1303.3076,
title = {Higher Tannaka and Beyond},
author = {Renaud Gauthier},
journal= {arXiv preprint arXiv:1303.3076},
year = {2013}
}
Comments
42 pages. arXiv admin note: text overlap with arXiv:1204.5787, arXiv:math/0608040 by other authors