2 citations · 3 across the 3 of their papers we have counts for
8 papers
Crystalline lifts of two-dimensional mod automorphic Galois representations
Fred Diamond, Davide A. Reduzzi
We show that a sufficient condition for an irreducible automorphic Galois representation of a totally real field to have an autom…
Unramifiedness of Galois representations arising from Hilbert modular surfaces
Matthew Emerton, Davide A. Reduzzi, Liang Xiao
Let be a prime number and a totally real number field. For each prime of above we construct a Hecke operator acting on $(\mathrm{mod…
Partial Hasse invariants on splitting models of Hilbert modular varieties
Davide A. Reduzzi, Liang Xiao
Let be a totally real field of degree , and let be a prime number. We construct partial Hasse invariants on the characteristic fiber of the Pappas-Rapoport split…
Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
Matthew Emerton, Davide A. Reduzzi, Liang Xiao
Let be a totally real number field and let be a prime unramified in . We prove the existence of Galois pseudo-representations attached to mod Hecke eigenclasses of…
An Explicit Presentation of the Grothendieck Ring of Finitely Generated F_{q}[SL(2,F_{q})]-Modules
Davide A. Reduzzi
Let p be a prime and q=p^g. We show that the Grothendieck ring of finitely generated F_{q}[SL(2,F_{q})]-modules is naturally isomorphic to the quotient of the polynomial algebra Z[…
Cohomological Weight Shiftings for Automorphic Forms on Definite Quaternion Algebras
Davide A. Reduzzi
Let F/Q be a totally real field extension of degree g and let D be a definite quaternion algebra with center F. Fix an odd prime p which is unramified in F and D. We produce weight…