$p$-adic families of automorphic forms over some unitary Shimura varieties

Xu Shen

$p$-adic families of automorphic forms over some unitary Shimura varieties

Number Theory 2015-06-12 v2

Authors: Xu Shen

Abstract

We construct some $n$ -dimensional eigenvarieties for finite slope overconvergent eigenforms over some unitary Shimura varieties with signature $(1,n-1)\times(0,n)\times\cdots\times(0,n)$ by adapting Andreatta-Iovita-Pilloni's method. We also show that there are some Galois pseudo-characters over our eigenvarieties by studying analytic continuation of finite slope eigenforms over these Shimura varieties.

Keywords

p-adic families automorphic forms Shimura varieties eigenvarieties Galois pseudo-characters finite slope overconvergent forms

Cite

@article{arxiv.1405.7587,
  title  = {$p$-adic families of automorphic forms over some unitary Shimura varieties},
  author = {Xu Shen},
  journal= {arXiv preprint arXiv:1405.7587},
  year   = {2015}
}

Comments

24 pages; revised version; minor changes; to appear in Math. Research Letters

$p$-adic families of automorphic forms over some unitary Shimura varieties

Abstract

Keywords

Cite

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