The Iwasawa Main Conjectures for GL2

C Skinner, E Urban - Inventiones mathematicae, 2014 - Springer
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[PDF][PDF] Families of Galois representations and Selmer groups

J Bellaıche, G Chenevier - Astérisque, 2009 - people.brandeis.edu
This book (1) takes place in a now thirty years long trend of researches, initiated by Ribet
([95]) aiming at constructing “arithmetically interesting” non trivial extensions between global …

[图书][B] Selmer complexes

J Nekovár, K Iwasawa - 2006 - webusers.imj-prg.fr
(0.0) Big Galois representations In this work we study cohomological invariants of “big
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …

Hida families and p-adic triple product L-functions

ML Hsieh - American Journal of Mathematics, 2021 - muse.jhu.edu
We construct the three-variable $ p $-adic triple product $ L $-functions attached to Hida
families of elliptic newforms and prove the explicit interpolation formulae at all critical …

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 …

Critical p-adic L-functions

J Bellaïche - Inventiones mathematicae, 2012 - Springer
Critical p-adic L-functions Page 1 Invent math (2012) 189:1–60 DOI 10.1007/s00222-011-0358-z
Critical p-adic L-functions Joël Bellaïche Received: 26 August 2010 / Accepted: 15 …

p-adic families of Siegel modular cuspforms

F Andreatta, A Iovita, V Pilloni - Annals of mathematics, 2015 - JSTOR
Let p be an odd prime and g≥ 2 an integer. We prove that a finite slope Siegel cuspidal
eigenform of genus g can be p-adically deformed over the g-dimensional weight space. The …

On upper bounds of arithmetic degrees

Y Matsuzawa - American Journal of Mathematics, 2020 - muse.jhu.edu
Let $ X $ be a smooth projective variety defined over $\overline {\Bbb {Q}} $, and $ f\colon
X\dashrightarrow X $ be a dominant rational map. Let $\delta_f $ be the first dynamical …

Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture

J Brown - Compositio Mathematica, 2007 - cambridge.org
Let f be a newform of weight 2k− 2 and level 1. In this paper we provide evidence for the
Bloch–Kato conjecture for modular forms. We demonstrate an implication that under suitable …

Galois representations attached to Hilbert-Siegel modular forms

CM Sorensen - Documenta Mathematica, 2010 - ems.press
This article is a spinoff of the book of Harris and Taylor [HT], in which they prove the local
Langlands conjecture for\(\GL (n)\), and its companion paper by Taylor and Yoshida [TY] on …