Let F be a totally real field and G= GSp (4)/F. In this paper, we show under a weak
assumption that, given a Hecke eigensystem λ which is (p, P)-ordinary for a fixed parabolic P …

In this paper, we set up a strategy to prove one divisibility toward the main Iwasawa
conjecture for the Selmer groups attached to the twisted adjoint modular Galois …

Urban, Eric. Sur les représentations $ p $-adiques associées aux représentations
cuspidales de $ GSp_ {4/\mathbb {Q}} $, dans Formes automorphes (II)-Le cas du groupe …

We explain how the work of Johnson-Leung and Roberts on lifting Hilbert modular forms for
real quadratic fields to Siegel modular forms can be adapted to imaginary quadratic fields …

For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an
Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL2/F …

Minimal modularity lifting for nonregular symplectic representations Page 1 MINIMAL
MODULARITY LIFTING FOR NONREGULAR SYMPLECTIC REPRESENTATIONS FRANK …

We study the arithmetic of Eisenstein cohomology classes for symmetric spaces associated
to GL 2 over imaginary quadratic fields. We prove in many cases a lower bound on their …

We prove the modularity of certain residually reducible p-adic Galois representations of an
imaginary quadratic field assuming the uniqueness of the residual representation. We obtain …

We prove the modularity of minimally ramified ordinary residually reducible p-adic Galois
representations of an imaginary quadratic field F under certain assumptions. We first exhibit …

arXiv:1907.08694v1 [math.NT] 19 Jul 2019 Page 1 arXiv:1907.08694v1 [math.NT] 19 Jul 2019
BLOCH–KATO CONJECTURES FOR AUTOMORPHIC MOTIVES FRANK CALEGARI, DAVID …