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 …

We show that abelian surfaces (and consequently curves of genus 2) over totally real fields
are potentially modular. As a consequence, we obtain the expected meromorphic …

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 …

We construct $ p $-adic analytic families of $ p $-ordinary cohomology classes in the
cohomology of arithmetic subgroups of $ GL (n) $ with coefficients in a family of …

An Eisenstein measure on the symplectic group over rational number field is constructed
which interpolates p-adically the Fourier expansion of Siegel-Eisenstein series. The proof is …

In the last 15 years, many class number formulas and main conjectures have been proven.
Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint …

0. Introduction p-adic families of Siegel modular forms were considered from various points
of view in recent years [10],[7]. In particular, p-adic families of Eisenstein series were …

We build a theory of Λ-adic Siegel modular forms related to the Klingen parabolic subgroup
of GSp (4). These correspond to families of cohomology classes of increasing levels whose …

Introduction. Consider a Jacobi form φ (τ, z)=∑ n, rc (n, r) qnζr whose Fourier coefficients c
(n, r) are algebraic numbers. Let p be an odd prime. In this paper we associate to φ a Λ-adic …

Our paper [AS-Barcelona] presented a control theorem on the ordinary part of a p-adic
deformation of the cohomology of congruence subgroups of GL (n, Z). In the current work …