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 …
(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 …
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 …
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 …
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 …
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 …
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 …
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 …