The local Langlands conjecture for
WT Gan, G Savin - Forum of Mathematics, Pi, 2023 - cambridge.org
The Local Langlands Conjecture for 𝑮2 Page 1 Forum of Mathematics, Pi (2023), Vol. 11:e28
1–42 doi:10.1017/fmp.2023.27 RESEARCH ARTICLE The Local Langlands Conjecture for 𝑮2 …
1–42 doi:10.1017/fmp.2023.27 RESEARCH ARTICLE The Local Langlands Conjecture for 𝑮2 …
Local Langlands correspondences
M Harris - arXiv preprint arXiv:2205.03848, 2022 - arxiv.org
The first part of this article is a review of the properties expected of any local Langlands
correspondence that aims to be considered" canonical," and of known results that establish …
correspondence that aims to be considered" canonical," and of known results that establish …
Discrete series multiplicities for classical groups over and level 1 algebraic cusp forms
G Chenevier, O Taïbi - Publications mathématiques de l'IHÉS, 2020 - Springer
The aim of this paper is twofold. First, we introduce a new method for evaluating the
multiplicity of a given discrete series representation in the space of level 1 automorphic …
multiplicity of a given discrete series representation in the space of level 1 automorphic …
Galois representations with large image in global Langlands correspondence
A Zenteno - arXiv preprint arXiv:2306.02493, 2023 - arxiv.org
The global Langlands conjecture for $\text {GL} _n $ over a number field $ F $ predicts a
correspondence between certain algebraic automorphic representations $\pi $ of $\text {GL} …
correspondence between certain algebraic automorphic representations $\pi $ of $\text {GL} …
Algebraic cycles and functorial lifts from G2 to PGSp6
A Cauchi, F Lemma, J Rodrigues - 2023 - hal.science
We establish instances of Beilinson-Tate conjectures for automorphic representations of
PGSp 6 whose Spin L-function has a pole at s= 1. Using the exceptional theta …
PGSp 6 whose Spin L-function has a pole at s= 1. Using the exceptional theta …
Is Unacceptable
G Chenevier, WT Gan - Peking Mathematical Journal, 2024 - Springer
We classify to some extent the pairs of group morphisms Γ→ Spin (7) which are element-
conjugate but not globally conjugate. As an application, we study the case where Γ is the …
conjugate but not globally conjugate. As an application, we study the case where Γ is the …
A local Langlands parameterization for generic supercuspidal representations of -adic
We construct a Langlands parameterization of supercuspidal representations of $ G_2 $
over a $ p $-adic field. More precisely, for any finite extension $ K/\QQ_p $ we will construct …
over a $ p $-adic field. More precisely, for any finite extension $ K/\QQ_p $ we will construct …
An exceptional Siegel–Weil formula and poles of the Spin L-function of
WT Gan, G Savin - Compositio Mathematica, 2020 - cambridge.org
An exceptional Siegel–Weil formula and poles of the Spin L-function of PGSp Page 1 An
exceptional Siegel–Weil formula and poles of the Spin L-function of PGSp 6 Wee Teck Gan and …
exceptional Siegel–Weil formula and poles of the Spin L-function of PGSp 6 Wee Teck Gan and …
Computing finite Galois groups arising from automorphic forms
K Magaard, G Savin - Journal of Algebra, 2020 - Elsevier
We study modulo p reduction of compatible systems of p-adic representations of the
absolute Galois group of Q, arising from an algebraic automorphic representation. In …
absolute Galois group of Q, arising from an algebraic automorphic representation. In …
Potential automorphy of -valued Galois representations
S Patrikis, S Tang - Mathematische Zeitschrift, 2022 - Springer
We prove a potential automorphy theorem for suitable Galois representations Γ F+→ GSpin
2 n+ 1 (F¯ p) and Γ F+→ GSpin 2 n+ 1 (Q¯ p), where Γ F+ is the absolute Galois group of a …
2 n+ 1 (F¯ p) and Γ F+→ GSpin 2 n+ 1 (Q¯ p), where Γ F+ is the absolute Galois group of a …