Unstable analogues of the Lichtenbaum-Quillen conjecture
K-Theory and Homology
2012-11-08 v1
Abstract
This survey is mostly concerned with unstable analogues of the Lichtenbaum-Quillen Conjecture. The Lichtenbaum-Quillen Conjecture (now implied by the Voevodsky-Rost Theorem) attempts to describe the algebraic K-theory of rings of integers in number fields in terms of much more accessible "etale models". Suitable versions of the conjecture predict the cohomology of infinite general linear groups of rings of S-integers over suitable number fields; our survey focuses on an unstable version of this form of the conjecture.
Keywords
Cite
@article{arxiv.1211.1651,
title = {Unstable analogues of the Lichtenbaum-Quillen conjecture},
author = {Marian Anton and Joshua Roberts},
journal= {arXiv preprint arXiv:1211.1651},
year = {2012}
}