Hecke Operators on Stable Cohomology
Geometric Topology
2013-11-21 v1 Number Theory
Abstract
We prove that the completed cohomology groups of SL_N(Z) in fixed degree stabilize as N goes to infinity. We also prove that the action of Hecke operators on stable cohomology is trivial, in a precisely defined sense.
Keywords
Cite
@article{arxiv.1311.5183,
title = {Hecke Operators on Stable Cohomology},
author = {Frank Calegari and Matthew Emerton},
journal= {arXiv preprint arXiv:1311.5183},
year = {2013}
}