The aim of this paper is to extend some arithmetic results on elliptic modular forms to the
case of Hilbert modular forms. Among these results let us mention: We study the arithmetic …

Let $ F $ be a totally real field in which $ p $ is unramified. We prove that, if a cuspidal
overconvergent Hilbert cuspidal form has small slopes under $ U_p $-operators, then it is …

Let ρ be a two-dimensional modulo p representation of the absolute Galois group of a totally
real number field. Under the assumptions that ρ has a large image and admits a low-weight …

Let p be a prime and F a totally real field in which p is unramified. We consider mod p Hilbert
modular forms for F, defined as sections of automorphic line bundles on Hilbert modular …

We propose an action of a certain motivic cohomology group on the coherent cohomology of
Hilbert modular varieties, extending conjectures of Venkatesh, Prasanna, and Harris. The …

Let F be a totally real number field and let p be a prime unramified in F. We prove the
existence of Galois pseudo-representations attached to mod⁡ pm Hecke eigenclasses of …

Soit F un corps de nombres totalement réel de degré dF, d'anneau des entiers o, de
différente d et de discriminant F= NF/Q (d). On abrégera N= NF/Q. On se donne un groupe …

In this paper, we study the action of diamond operators on Hilbert modular forms with
coefficients in a general commutative ring. In particular, we generalize a result of Chai on the …

arXiv:0906.4239v4 [math.AG] 2 Feb 2015 On the interior motive of certain Shimura varieties: the
case of Hilbert–Blumenthal v Page 1 arXiv:0906.4239v4 [math.AG] 2 Feb 2015 On the interior …

Let p be a prime number and F a totally real number field. For each prime p of F above p we
construct a Hecke operator Tp acting on (mod pm) Katz Hilbert modular classes which …