Let $ X $ be a smooth projective variety defined over $\overline {\Bbb {Q}} $, and $ f\colon
X\dashrightarrow X $ be a dominant rational map. Let $\delta_f $ be the first dynamical …

We study short crystalline, minimal, essentially self-dual deformations of a mod $ p $ non-
semisimple Galois representation $\overline {\sigma} $ with $\overline {\sigma}^{{\rm …

We discuss several arithmetic aspects of Bianchi groups, especially from a computational
point of view. In particular, we consider computing the homology of Bianchi groups together …

Let f1 (resp. f2) denote two (elliptic) newforms of prime level N, trivial character and weight 2
(resp. k+ 2, where k∈{8, 12}). We provide evidence for the Bloch–Kato conjecture for the …

In this paper, we study Fontaine-Laffaille, self-dual deformations of a mod p non-semisimple
Galois representation of dimension n with its Jordan-Holder factors being three mutually non …

For a totally real field $ F $, a finite extension $\mathbf {F} $ of $\mathbf {F} _p $, and a
Galois character $\chi: G_F\to\mathbf {F}^{\times} $ unramified away from a finite set of …

INTEGRAL p-ADIC HODGE THEORY AND RAMIFICATION OF CRYSTALLINE
REPRESENTATIONS Contents 1. Introduction 2 2. Fontaine-Laffaille mo Page 1 INTEGRAL …

We prove the existence of a potentially diagonalizable lift of a given automorphic mod $ p $
Galois representation $\overline {\rho}:{\rm Gal}(\overline {F}/F)\longrightarrow {\rm GSp} _4 …

We study short crystalline, minimal, essentially self-dual deformations of a mod $ p $ non-
semisimple Galois representation $\bar {\sigma} $ with $\bar {\sigma}^{\rm ss}=\chi^{k …

In this paper, we study deformations of mod Galois representations (over an imaginary
quadratic field) of dimension whose semi-simplification is the direct sum of two characters …