[引用][C] Cohomology of moduli spaces via a result of Chenevier and Lannes
J Bergström, C Faber - Épijournal de Géométrie Algébrique, 2023 - epiga.episciences.org
We use a classification result of Chenevier and Lannes for algebraic automorphic
representations together with a conjectural correspondence with ℓ-adic absolute Galois …
representations together with a conjectural correspondence with ℓ-adic absolute Galois …
Cuspidal cohomology classes for GL_n (Z)
We prove the existence of a regular algebraic cuspidal automorphic representation $\pi $ for
$ GL_ {105}/\mathbf {Q} $ of level one and weight zero. We construct $\pi $ using symmetric …
$ GL_ {105}/\mathbf {Q} $ of level one and weight zero. We construct $\pi $ using symmetric …
Harmonic theta series and the Kodaira dimension of 𝒜6
M Dittmann, R Salvati Manni, NR Scheithauer - Algebra & Number Theory, 2021 - msp.org
Harmonic theta series and the Kodaira dimension of A[2]6 Page 1 Algebra & Number Theory
msp Volume 15 2021 No. 1 Harmonic theta series and the Kodaira dimension of A6 Moritz …
msp Volume 15 2021 No. 1 Harmonic theta series and the Kodaira dimension of A6 Moritz …
Cuspidal cohomology classes for 𝐺𝐿_ {𝑛}(𝐙)
G Boxer, F Calegari, T Gee - Journal of the American Mathematical Society, 2024 - ams.org
We prove the existence of a cuspidal automorphic representation $\pi $ for $\operatorname
{GL} _ {79}/\mathbf {Q} $ of level one and weight zero. We construct $\pi $ using symmetric …
{GL} _ {79}/\mathbf {Q} $ of level one and weight zero. We construct $\pi $ using symmetric …
Local Intertwining Relations and Co-tempered -packets of Classical Groups
H Atobe, WT Gan, A Ichino, T Kaletha… - arXiv preprint arXiv …, 2024 - arxiv.org
The local intertwining relation is an identity that gives precise information about the action of
normalized intertwining operators on parabolically induced representations. We prove …
normalized intertwining operators on parabolically induced representations. We prove …
Level one automorphic representations of an anisotropic exceptional group over of type
Y Shan - arXiv preprint arXiv:2407.05859, 2024 - arxiv.org
Up to isomorphism, there is a unique connected semisimple algebraic group over $\mathbb
{Q} $ of Lie type $\mathrm {F} _ {4} $, with compact real points and split over $\mathbb {Q} …
{Q} $ of Lie type $\mathrm {F} _ {4} $, with compact real points and split over $\mathbb {Q} …
Cohomological Arithmetic Statistics for Principally Polarized Abelian Varieties over Finite Fields
A Shmakov - arXiv preprint arXiv:2309.13806, 2023 - arxiv.org
There is a natural probability measure on the set of isomorphism classes of principally
polarized Abelian varieties of dimension $ g $ over $\mathbb {F} _q $, weighted by the …
polarized Abelian varieties of dimension $ g $ over $\mathbb {F} _q $, weighted by the …
Differentiating Siegel Modular Forms and the Moving Slope of 𝒜g
S Grushevsky, T Ibukiyama, G Mondello… - International …, 2024 - academic.oup.com
We study the cone of moving divisors on the moduli space of principally polarized abelian
varieties. Partly motivated by the generalized Rankin–Cohen bracket, we construct a non …
varieties. Partly motivated by the generalized Rankin–Cohen bracket, we construct a non …
On C-Algebraic and C-Arithmetic Automorphic Representations
AF La Rosa - arXiv preprint arXiv:2401.16174, 2024 - arxiv.org
In the first part of the article, we consider the conjecture of K. Buzzard and T. Gee proposing
that every C-algebraic automorphic representation is C-arithmetic, and we show that it can …
that every C-algebraic automorphic representation is C-arithmetic, and we show that it can …
Computation of Fourier coefficients of automorphic forms of type
A Pollack - arXiv preprint arXiv:2401.02922, 2024 - arxiv.org
In a recent work, we found formulas for the Fourier coefficients of automorphic forms of type
$ G_2 $: holomorphic Siegel modular forms on $\mathrm {Sp} _6 $ that are theta lifts from …
$ G_2 $: holomorphic Siegel modular forms on $\mathrm {Sp} _6 $ that are theta lifts from …