Prismatic cohomology and $p$-adic homotopy theory
Algebraic Geometry
2021-07-07 v1 Algebraic Topology
Abstract
This short note regards an observation about the recent theory of prismatic cohomology developed by Bhatt and Scholze. In particular, by applying a functor of Mandell, we see that the \'etale comparison theorem in the prismatic theory reproduces the -adic homotopy type for a smooth proper complex variety with good reduction mod .
Keywords
Cite
@article{arxiv.2107.02256,
title = {Prismatic cohomology and $p$-adic homotopy theory},
author = {Tobias Shin},
journal= {arXiv preprint arXiv:2107.02256},
year = {2021}
}