Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
Number Theory
2007-06-26 v1
Abstract
We study low order terms of Emerton's spectral sequence for simply connected, simple groups. As a result, for real rank 1 groups, we show that Emerton's method for constructing eigenvarieties is successful in cohomological dimension 1. For real rank 2 groups, we show that a slight modification of Emerton's method allows one to construct eigenvarieties in cohomological dimension 2.
Keywords
Cite
@article{arxiv.0706.3670,
title = {Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups},
author = {Richard Hill},
journal= {arXiv preprint arXiv:0706.3670},
year = {2007}
}