The Iwasawa Main Conjectures for GL2
C Skinner, E Urban - Inventiones mathematicae, 2014 - Springer
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[图书][B] p-adic automorphic forms on Shimura varieties
H Hida - 2004 - Springer
In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at
Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a …
Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a …
Abelian surfaces over totally real fields are potentially modular
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 …
are potentially modular. As a consequence, we obtain the expected meromorphic …
Eigenvarieties for reductive groups
E Urban - Annals of mathematics, 2011 - JSTOR
We develop the theory of overconvergent cohomology introduced by G. Stevens, and we
use it to give a construction of eigenvarieties associated to any reductive group G over ℚ …
use it to give a construction of eigenvarieties associated to any reductive group G over ℚ …
Modularity lifting theorems for ordinary Galois representations
D Geraghty - Mathematische Annalen, 2019 - Springer
We generalize results of Clozel, Harris and Taylor by proving modularity lifting theorems for
ordinary l-adic Galois representations of any dimension of an imaginary CM or totally real …
ordinary l-adic Galois representations of any dimension of an imaginary CM or totally real …
On the modularity of elliptic curves over imaginary quadratic fields
A Caraiani, J Newton - arXiv preprint arXiv:2301.10509, 2023 - arxiv.org
In this paper, we establish the modularity of every elliptic curve $ E/F $, where $ F $ runs
over infinitely many imaginary quadratic fields, including $\mathbb {Q}(\sqrt {-d}) $ for $ d= 1 …
over infinitely many imaginary quadratic fields, including $\mathbb {Q}(\sqrt {-d}) $ for $ d= 1 …
Euler systems for GSp (4)
D Loeffler, C Skinner, SL Zerbes - arXiv preprint arXiv:1706.00201, 2017 - arxiv.org
arXiv:1706.00201v4 [math.NT] 26 Jan 2021 Page 1 EULER SYSTEMS FOR GSP(4) DAVID
LOEFFLER, CHRISTOPHER SKINNER, AND SARAH LIVIA ZERBES Abstract. We construct an …
LOEFFLER, CHRISTOPHER SKINNER, AND SARAH LIVIA ZERBES Abstract. We construct an …
[图书][B] Geometric modular forms and elliptic curves
H Hida - 2011 - books.google.com
This book provides a comprehensive account of the theory of moduli spaces of elliptic
curves (over integer rings) and its application to modular forms. The construction of Galois …
curves (over integer rings) and its application to modular forms. The construction of Galois …
Control theorems of coherent sheaves on Shimura varieties of PEL type
H Hida - Journal of the Institute of Mathematics of Jussieu, 2002 - cambridge.org
An exact control theorem is proven for nearly ordinary-adic automorphic forms on symplectic
and unitary groups over totally real fields if the algebraic group is split at. In particular, a …
and unitary groups over totally real fields if the algebraic group is split at. In particular, a …
On the Eisenstein cohomology of arithmetic groups
JS Li, J Schwermer - 2004 - projecteuclid.org
Abstract The cohomology H^*(Γ,E) of an arithmetic subgroup Γ of a connected reductive
algebraic group G defined over some algebraic number field F can be interpreted in terms of …
algebraic group G defined over some algebraic number field F can be interpreted in terms of …