Twiseted eigenvarities and self-dual representations

Zhengyu Xiang

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arXiv · 1704.00569

Twiseted eigenvarities and self-dual representations

Zhengyu Xiang

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Abstract

For a reductive group G and a finite order Cartan-type automorphism ιof G, we construct an eigenvariety parameterizing ι-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.

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Zhengyu Xiang. 2017-04-03. Twiseted eigenvarities and self-dual representations. https://arxiv.org/abs/1704.00569

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