Canonical q-deformations in arithmetic geometry
Algebraic Geometry
2016-06-07 v1 Number Theory
Abstract
In recent work with Bhatt and Morrow, we defined a new integral p-adic cohomology theory interpolating between etale and de Rham cohomology. An unexpected feature of this cohomology is that in coordinates, it can be computed by a q-deformation of the de Rham complex, which is thus canonical, at least in the derived category. In this short survey, we try to explain what we know about this phenomenon, and what can be conjectured to hold.
Cite
@article{arxiv.1606.01796,
title = {Canonical q-deformations in arithmetic geometry},
author = {Peter Scholze},
journal= {arXiv preprint arXiv:1606.01796},
year = {2016}
}
Comments
18 pages