Symmetric and locally symmetric spaces arise in different contexts. Many natural spaces of
this type are not compact and, for many applications, it is necessary to compactify them. This …

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 …

We present a comprehensive study of the geometry of Hilbert $ p $-adic eigenvarieties at
parallel weight one intersection points of their cuspidal and Eisenstein loci. The Galois …

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 …

Cet article a pour origine deux exposés donnés par le second auteur à Varenna. Son
contenu est cependant assez différent de celui des exposés. Il traite de certains aspects …

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 …

Let F be a totally real field of degree g, and let p be a prime number. We construct g partial
Hasse invariants on the characteristic p fiber of the Pappas-Rapoport splitting model of the …

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR
FORMS MOD p OF WEIGHT 1 Page 1 J. Inst. Math. Jussieu (2020) 19(2), 281–306 …

Take a non CM p-slope 0 analytic family of Hilbert modular forms of level Np∞ for a prime p
of the base totally real field F. We prove that the Hecke field over Q [μp∞] of members of the …