Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois
representations, and weight one forms | SpringerLink Skip to main content Advertisement …

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 …

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 …

We prove that the Galois pseudo-representation valued in the mod $ p^ n $ cuspidal Hecke
algebra for GL (2) over a totally real number field $ F $, of parallel weight $1 $ and level …

We study minimal and toroidal compactifications of p-integral models of Hilbert modular
varieties. We review the theory in the setting of Iwahori level at primes over p, and extend it …

Serre's strong conjecture, now a theorem of Khare and Wintenberger, states that every two-
dimensional continuous, odd, irreducible mod p Galois representation ρ: GQ→ GL2 (Fp) …

This thesis studies Hilbert modular forms of arbitrary weight with coefficients over a finite
field of characteristic p. In particular, we compute the action on geometric q-expansions …

We consider integral models of Hilbert modular varieties with Iwahori level structure at
primes over p, first proving a Kodaira-Spencer isomorphism that gives a concise description …

We generalize the work of Ohta on the congruence modules attached to elliptic Eisenstein
series to the setting of Hilbert modular forms. Our work involves three parts. In the first part …

In this short paper we generalise a result of Diamond--Sasaki connecting geometric
modularity of algebraic weights to geometric modularity of non-algebraic weights and vice …