Author:
Newton James,Thorne Jack A.
Abstract
AbstractLet $f$
f
be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting $\operatorname{Sym}^{n} f$
Sym
n
f
for every $n \geq 1$
n
≥
1
.We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over $\mathbf{Q}$
Q
.
Publisher
Springer Science and Business Media LLC
Reference128 articles.
1. Annals of Mathematics Studies;J. Arthur,1989
2. P. B. Allen, Deformations of polarized automorphic Galois representations and adjoint Selmer groups, Duke Math. J., 165 (2016), 2407–2460.
3. P. B. Allen, J. Newton and J. A. Thorne, Automorphy lifting for residually reducible $l$-adic Galois representations, II, Compos. Math., 156 (2020), 2399–2422.
4. C. Anastassiades and J. A. Thorne, Raising the level of automorphic representations of $\mathrm{GL}_{2n}$ of unitary type, J. Inst. Math. Jussieu (2021). https://doi.org/10.1017/S1474748020000602. In press.
5. K. Buzzard and F. Calegari, The 2-adic eigencurve is proper, arXiv Mathematics e-prints (2005), arXiv:math/0503362.
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