Twiseted eigenvarities and self-dual representations
Number Theory
2017-04-04 v1
Abstract
For a reductive group G and a finite order Cartan-type automorphism \iota of G, we construct an eigenvariety parameterizing \iota-invariant cuspidal Hecke eigensystems of G. In particular, for G = Gln, we prove, any self-dual cuspidal Hecke eigensystem can be deformed in a p-adic family of self-dual cuspidal Hecke eigensystems containing a Zariski dense subset of classical points.
Cite
@article{arxiv.1704.00569,
title = {Twiseted eigenvarities and self-dual representations},
author = {Zhengyu Xiang},
journal= {arXiv preprint arXiv:1704.00569},
year = {2017}
}
Comments
55 pages