Symmetric power functoriality for holomorphic modular forms
J Newton, JA Thorne - Publications mathématiques de l'IHÉS, 2021 - Springer
Let ff be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric
power lifting Sym nf Sym^nf for every n≥ 1 n≧1. We establish the same result for a more …
power lifting Sym nf Sym^nf for every n≥ 1 n≧1. We establish the same result for a more …
Symmetric power functoriality for holomorphic modular forms, II
J Newton, JA Thorne - 2021 - repository.cam.ac.uk
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math f</jats: tex-math>< mml: math xmlns: mml=" http://www. w3. org/1998/Math/MathML"> …
The Fontaine-Mazur conjecture in the residually reducible case
L Pan - Journal of the American Mathematical Society, 2022 - ams.org
We prove new cases of Fontaine-Mazur conjecture on two-dimensional Galois
representations over $\mathbb {Q} $ when the residual representation is reducible. Our …
representations over $\mathbb {Q} $ when the residual representation is reducible. Our …
Symmetric power functoriality for Hilbert modular forms
J Newton, JA Thorne - arXiv preprint arXiv:2212.03595, 2022 - arxiv.org
arXiv:2212.03595v1 [math.NT] 7 Dec 2022 Page 1 arXiv:2212.03595v1 [math.NT] 7 Dec 2022
SYMMETRIC POWER FUNCTORIALITY FOR HILBERT MODULAR FORMS JAMES NEWTON …
SYMMETRIC POWER FUNCTORIALITY FOR HILBERT MODULAR FORMS JAMES NEWTON …
Reciprocity in the Langlands program since Fermat's Last Theorem
F Calegari - arXiv preprint arXiv:2109.14145, 2021 - arxiv.org
arXiv:2109.14145v1 [math.NT] 29 Sep 2021 Page 1 arXiv:2109.14145v1 [math.NT] 29 Sep
2021 RECIPROCITY IN THE LANGLANDS PROGRAM SINCE FERMAT’S LAST THEOREM …
2021 RECIPROCITY IN THE LANGLANDS PROGRAM SINCE FERMAT’S LAST THEOREM …
[PDF][PDF] Gan–Gross–Prasad cycles and derivatives of p-adic L-functions
D Disegni, W Zhang - Preprint, 2024 - disegni-daniel.perso.math.cnrs.fr
We study the p-adic analogue of the arithmetic Gan–Gross–Prasad (GGP) conjectures for
unitary groups. Let Π be a hermitian cuspidal automorphic representation of GLn× GLn+ 1 …
unitary groups. Let Π be a hermitian cuspidal automorphic representation of GLn× GLn+ 1 …
[PDF][PDF] p-adic Hodge parameters in the crystabelline representations of GLn
Y Ding - arXiv preprint arXiv:2404.16657, 2024 - faculty.bicmr.pku.edu.cn
Let K be a finite extension of Qp, and ρ be an n-dimensional (non-critical generic)
crystabelline representation of the absolute Galois group of K of regular Hodge-Tate …
crystabelline representation of the absolute Galois group of K of regular Hodge-Tate …
On the vanishing of adjoint Bloch--Kato Selmer groups of irreducible automorphic Galois representations
JA Thorne - arXiv preprint arXiv:2207.04925, 2022 - arxiv.org
Let $\rho $ be the $ p $-adic Galois representation attached to a cuspidal, regular algebraic,
polarizable automorphic representation of $ GL_n $. Assuming only that $\rho $ satisfies an …
polarizable automorphic representation of $ GL_n $. Assuming only that $\rho $ satisfies an …
On -adic -functions for Hilbert modular forms
J Bergdall, D Hansen - arXiv preprint arXiv:1710.05324, 2017 - arxiv.org
We construct $ p $-adic $ L $-functions associated with $ p $-refined cohomological
cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our …
cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our …
The infinite fern in higher dimensions
V Hernandez, B Schraen - arXiv preprint arXiv:2210.10564, 2022 - arxiv.org
If $\bar\rho $ is an automorphic modulo $ p $ Galois representation, it is natural to wonder if
automorphic points are Zariski dense in the deformation space of $\bar\rho $. We prove new …
automorphic points are Zariski dense in the deformation space of $\bar\rho $. We prove new …