THE ASYMPTOTIC GROWTH OF TORSION HOMOLOGY FOR ARITHMETIC GROUPS Page
1 J. Inst. Math. Jussieu (2013) 12(2), 391–447 391 doi:10.1017/S1474748012000667 c …

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 …

We study the étale cohomology of Hilbert modular varieties, building on the methods
introduced by Caraiani and Scholze for unitary Shimura varieties. We obtain the analogous …

We construct an Euler system—a compatible family of global cohomology classes—for the
Galois representations appearing in the geometry of Hilbert modular surfaces. If a conjecture …

Nous démontrons un théorème de relèvement modulaire pour les représentations
galoisiennes de dimension deux, totalement impaires, de poids de Hodge-Tate nuls du …

This article builds on recent work of the first three authors where a notion of congruence
modules in higher codimension is introduced. The main results are a criterion for detecting …

We prove a strong form of the trivial zero conjecture at the central point for the p-adic L-
function of a non-critically refined self-dual cohomological cuspidal automorphic …

We introduce the notion of automorphic symbol generalizing the classical modular symbol
and use it to attach very general $ p $-adic $ L $-functions to nearly ordinary Hilbert …

The article studies the compatibility of the refined Gross–Prasad (or Ichino–Ikeda) conjecture
for unitary groups, due to Neal Harris, with Deligne's conjecture on critical values of L …

We construct $ p $-adic $ L $-functions associated with $ p $-refined cohomological
cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our …