Moduli stacks of Galois representations and the -adic local Langlands correspondence for
We give a categorical formulation of the $ p $-adic local Langlands correspondence for
$\mathrm {GL} _2 (\mathbb {Q} _p) $, as an embedding of the derived category of locally …
$\mathrm {GL} _2 (\mathbb {Q} _p) $, as an embedding of the derived category of locally …
Geometric realizations of representations for and Galois representations arising from defining ideals of modular curves
L Yang - arXiv preprint arXiv:2409.02589, 2024 - arxiv.org
We construct a geometric realization of representations for $\text {PSL}(2,\mathbb {F} _p) $
by the defining ideals of rational models $\mathcal {L}(X (p)) $ of modular curves $ X (p) …
by the defining ideals of rational models $\mathcal {L}(X (p)) $ of modular curves $ X (p) …
Completed cohomology and Kato's Euler system for modular forms
Y Zhou - arXiv preprint arXiv:1812.03272, 2018 - arxiv.org
In this paper, we compare two different constructions of $ p $-adic $ L $-functions for
modular forms and their relationship to Galois cohomology: one using Kato's Euler system …
modular forms and their relationship to Galois cohomology: one using Kato's Euler system …
Mod p Langlands program and local-global compatibility for GL₂
Y Wang - 2024 - theses.hal.science
This thesis is devoted to the mod p Langlands program for GL₂. In the first part, I study the
Gelfand-Kirillov dimension of the representations π coming from the mod p cohomology of …
Gelfand-Kirillov dimension of the representations π coming from the mod p cohomology of …
Moduli stacks of two-dimensional Galois representations
arXiv:1908.07019v3 [math.NT] 1 Aug 2022 Page 1 arXiv:1908.07019v3 [math.NT] 1 Aug 2022
MODULI STACKS OF TWO-DIMENSIONAL GALOIS REPRESENTATIONS ANA CARAIANI …
MODULI STACKS OF TWO-DIMENSIONAL GALOIS REPRESENTATIONS ANA CARAIANI …
Geometrization of the local Langlands correspondence
L Fargues, P Scholze - arXiv preprint arXiv:2102.13459, 2021 - arxiv.org
Following the idea of [Far16], we develop the foundations of the geometric Langlands
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …
[图书][B] Moduli Stacks of Étale (φ, Γ)-Modules and the Existence of Crystalline Lifts:(AMS-215)
A foundational account of a new construction in the p-adic Langlands correspondence
Motivated by the p-adic Langlands program, this book constructs stacks that algebraize …
Motivated by the p-adic Langlands program, this book constructs stacks that algebraize …
Local-global compatibility for regular algebraic cuspidal automorphic representations when
I Varma - Forum of Mathematics, Sigma, 2024 - cambridge.org
We prove the compatibility of local and global Langlands correspondences for
$\operatorname {GL} _n $ up to semisimplification for the Galois representations constructed …
$\operatorname {GL} _n $ up to semisimplification for the Galois representations constructed …
Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular Forms
A Conti, A Iovita, J Tilouine - Elliptic Curves, Modular Forms and Iwasawa …, 2016 - Springer
Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular
Forms | SpringerLink Skip to main content Advertisement SpringerLink Account Menu Find a …
Forms | SpringerLink Skip to main content Advertisement SpringerLink Account Menu Find a …
Real groups, symmetric varieties and Langlands duality
TH Chen, D Nadler - arXiv preprint arXiv:2403.13995, 2024 - arxiv.org
Let $ G_\mathbb R $ be a connected real reductive group and let $ X $ be the
corresponding complex symmetric variety under the Cartan bijection. We construct a …
corresponding complex symmetric variety under the Cartan bijection. We construct a …