On a notion of ring groupoid
Category Theory
2021-04-16 v1 Algebraic Geometry
Algebraic Topology
Number Theory
Representation Theory
Abstract
By a ring groupoid we mean an animated ring whose i-th homotopy groups are zero for all i>1. In this expository note we give an elementary treatment of the (2,1)-category of ring groupoids (i.e., without referring to general animated rings and without using n-categories for n>2). The note is motivated by the fact that ring stacks play a central role in the Bhatt-Lurie approach to prismatic cohomology.
Cite
@article{arxiv.2104.07090,
title = {On a notion of ring groupoid},
author = {Vladimir Drinfeld},
journal= {arXiv preprint arXiv:2104.07090},
year = {2021}
}
Comments
22 pages