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 …
Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality
D Hansen, J Newton - Journal für die reine und angewandte …, 2017 - degruyter.com
Using the overconvergent cohomology modules introduced by Ash–Stevens, we construct
eigenvarieties associated with reductive groups and establish some basic geometric …
eigenvarieties associated with reductive groups and establish some basic geometric …
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 …
eigenform of genus g can be p-adically deformed over the g-dimensional weight space. The …
[图书][B] The eigenbook: eigenvarieties, families of Galois representations, p-adic L-functions
J Bellaïche - 2021 - books.google.com
This book discusses the p-adic modular forms, the eigencurve that parameterize them,
and the p-adic L-functions one can associate to them. These theories and their …
and the p-adic L-functions one can associate to them. These theories and their …
Nearly overconvergent modular forms
E Urban - Iwasawa Theory 2012: State of the Art and Recent …, 2014 - Springer
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[PDF][PDF] Higher Hida and Coleman theories on the modular curve
G Boxer, V Pilloni - Épijournal de Géométrie Algébrique, 2022 - epiga.episciences.org
arXiv:2002.06845v2 [math.NT] 11 Sep 2022 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 6 (2022), Article Nr. 16 Higher Hida and Coleman theories on the …
epiga.episciences.org Volume 6 (2022), Article Nr. 16 Higher Hida and Coleman theories on the …
Triple product p-adic L-functions associated to finite slope p-adic families of modular forms
F Andreatta, A Iovita - Duke Mathematical Journal, 2021 - projecteuclid.org
Let p be a positive prime integer. We construct p-adic families of de Rham cohomology
classes and therefore p-adic families of nearly overconvergent elliptic modular forms. As an …
classes and therefore p-adic families of nearly overconvergent elliptic modular forms. As an …
Extended eigenvarieties for overconvergent cohomology
C Johansson, J Newton - Algebra & Number Theory, 2019 - msp.org
Abstract Recently, Andreatta, Iovita and Pilloni constructed spaces of overconvergent
modular forms in characteristic p, together with a natural extension of the Coleman–Mazur …
modular forms in characteristic p, together with a natural extension of the Coleman–Mazur …
Higher coherent cohomology and -adic modular forms of singular weights
V Pilloni - 2020 - projecteuclid.org
Higher coherent cohomology andp-adic modular forms of singular weights Page 1 HIGHER
COHERENT COHOMOLOGY AND p-ADIC MODULAR FORMS OF SINGULAR WEIGHTS V …
COHERENT COHOMOLOGY AND p-ADIC MODULAR FORMS OF SINGULAR WEIGHTS V …
[PDF][PDF] On overconvergent Hilbert modular cusp forms
F Andreatta, A Iovita, V Pilloni - Astérisque, 2016 - users.mat.unimi.it
On overconvergent Hilbert modular cusp forms Page 1 On overconvergent Hilbert modular
cusp forms Fabrizio Andreatta Adrian Iovita Vincent Pilloni November 6, 2013 Contents 1 …
cusp forms Fabrizio Andreatta Adrian Iovita Vincent Pilloni November 6, 2013 Contents 1 …