TWISTED EIGENVARIETIES AND SELF-DUAL REPRESENTATIONS

被引：0

作者：

Xiang, Zhengyu ^{[1
,2
]}

机构：

[1] SCMS, East Guanghua Main Tower,Room 2214,220 Handan Rd, Shanghai 200433, Peoples R China

[2] Fudan Univ, East Guanghua Main Tower,Room 2214,220 Handan Rd, Shanghai 200433, Peoples R China

来源：

ANNALES DE L INSTITUT FOURIER | 2018年 / 68卷 / 06期

关键词：

eigenvariety; p-adic automorphic form; self-dual representation; UNITARY REPRESENTATIONS; COHOMOLOGY; SUBGROUPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 = Gl(n), 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.

引用

页码：2281 / 2444

页数：64

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