The primary purpose of this paper is to clarify the relation between previous results in
[Schr11],[Bre17] and [BD18] via the construction of some interesting locally analytic …

The primary purpose of this paper is to clarify the relation between previous results in [Ann.
Sci. Éc. Norm. Supér. 44 (2011), pp. 43–145],[Amer. J. Math. 141 (2019), pp. 661–703], and …

Change of weights for locally analytic representations of GL2(Qp) Page 1 Change of weights for
locally analytic representations of GL2(Qp) Yiwen Ding Abstract Let D1 ⊂ D2 be (ϕ …

Let $ D_1\subset D_2 $ be $(\varphi,\Gamma) $-modules of rank $2 $ over the Robba ring,
and $\pi (D_1) $, $\pi (D_2) $ be the associated locally analytic representations of $\rm {GL} …

We study the local reducibility at p of the p-adic Galois representation attached to a cuspidal
automorphic representation of GL n (𝔸 ℚ). In the case that the underlying Weil–Deligne …

We extend the $ p $-adic local Langlands correspondence for $\textbf {GL} _2 (\mathbf {Q}
_p) $ to a correspondence $\Delta\mapsto\Pi (\Delta) $ between $(\varphi,\Gamma) …

Background. The mod p (and the p-adic) Langlands correspondence for GL2 (Qp) was
conjectured by Breuil, and has been fully established by Colmez-Dospinescu-Paškunas …

If f is a modular form of weight≥ 2, the representation of GL2 (Qp) attached to it by the p-adic
local Langlands correspondence encodes the representation attached by the classical …

This is the sequel to arXiv: 2007.01364 v1. Let $ F $ be any local field with residue
characteristic $ p> 0$, and $\mathcal {H}^{(1)} _ {\overline {\mathbb {F}} _p} $ be the mod $ p …

Without using the $ p $-adic Langlands correspondence, we prove that for many finite length
smooth representations of $\mathrm {GL} _2 (\mathbf {Q} _p) $ on $ p $-torsion modules the …