Adjoint Selmer groups of automorphic Galois representations of unitary type

被引：3

作者：

Newton, James ^{[1
,2
]}

Thorne, Jack A. ^{[3
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

[3] Univ Cambridge, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2023年 / 25卷 / 05期

基金：

欧洲研究理事会;

关键词：

Galois representations; automorphic forms; adjoint Selmer groups; POTENTIAL AUTOMORPHY; LIE-ALGEBRAS; DEFORMATIONS; FORMS;

D O I：

10.4171/JEMS/1228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let rho be the p-adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of GL(n) of unitary type. Under very mild hypotheses on rho, we prove the vanishing of the (Bloch-Kato) adjoint Selmer group of rho. We obtain definitive results for the adjoint Selmer groups associated to non-CM Hilbert modular forms and elliptic curves over totally real fields.

引用

页码：1919 / 1967

页数：49

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