OCHIAI Tadashi

J-GLOBAL         Last updated: Oct 18, 2019 at 02:50
 
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Name
OCHIAI Tadashi
E-mail
ochiaimath.sci.osaka-u.ac.jp

Research Areas

 
 

Published Papers

 
Francesco Lemma, Tadashi Ochiai
   Jun 2018
We establish the existence of congruences between a fixed endoscopic cuspidal
automorphic representation Tex of Tex of level Tex and stable
cuspidal automorphic representations of the same level and weight modulo
certain prime fact...
Tadashi Ochiai
   Feb 2018
In this article, we discuss Iwasawa Main Conjecture for Tex-adic families of
elliptic modular cuspforms. After the overview on the situation of the ordinary
case of Hida family, we will introduce a Coleman map for Coleman family for the
non-ordina...
Kazim Büyükboduk, Tadashi Ochiai
   Aug 2017
In this article, we present the first half of our project on the Iwasawa
theory of higher rank Galois deformations over deformations rings of arbitrary
dimension. We develop a theory of Coleman maps for a very general class of
coefficient rings, d...
Tadashi Ochiai, Kazuma Shimomoto
   Feb 2018   [Refereed]
The aim of this article is to establish the specialization method on
characteristic ideals for finitely generated torsion modules over a complete
local normal domain R that is module-finite over Tex, where
Tex is the ring of integ...
Somnath Jha, Tadashi Ochiai, Gergely Zábrádi
Algebra Number Theory 10 (2016) 685-694   10(3) 685-694   Dec 2015   [Refereed]
It is well known that, for any finitely generated torsion module M over the
Iwasawa algebra Z_p [[{\Gamma} ]], where {\Gamma} is isomorphic to Z_p, there
exists a continuous p-adic character {\rho} of {\Gamma} such that, for every
open subgroup U ...
Filippo A. E. Nuccio, Tadashi Ochiai
   Jun 2016
In this paper, we construct a two-variable Coleman map for a given Tex-adic
family of eigen cuspforms with a fixed non-zero slope (Coleman family). A
Coleman map is a machinary which transforms a hypothetical Tex-adic family of
zeta elements to a ...
Takashi Hara, Tadashi Ochiai
Kyoto J. Math. 58 (2018), no. 1, 1--100   58(1) 1-100   Jul 2018   [Refereed]
We deduce the cyclotomic Iwasawa main conjecture for Hilbert modular
cuspforms with complex multiplication from the multivariable main conjecture
for CM number fields. To this end, we study in detail the behaviour of the
Tex-adic Tex-functions and...
Ochiai Tadashi, Shimomoto Kazuma
NAGOYA MATHEMATICAL JOURNAL   218 125-173   Jun 2015   [Refereed]
Lemma Francesco, Ochiai Tadashi
AMERICAN JOURNAL OF MATHEMATICS   136(3) 729-760   Jun 2014   [Refereed]
Fouquet Olivier, Ochiai Tadashi
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK   666 163-187   May 2012   [Refereed]
SEVERAL VARIABLES p-ADIC L-FUNCTIONS FOR HIDA FAMILIES OF HILBERT MODULAR FORMS
Ochiai Tadashi
DOCUMENTA MATHEMATICA   17 807-849   2012   [Refereed]
NOTES ON NON-COMMUTATIVE IWASAWA THEORY
Hachimori Yoshitaka, Ochiai Tadashi
ASIAN JOURNAL OF MATHEMATICS   14(1) 11-17   Mar 2010   [Refereed]
Ochiai Tadashi
JOURNAL OF PURE AND APPLIED ALGEBRA   212(6) 1381-1393   Jun 2008   [Refereed]
Tadashi Ochiai, Fabien Trihan
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY   146 23-43   May 2007   [Refereed]
In this paper, we study a (p-adic) geometric analogue for abelian varieties
over a function field of characteristic p of the cyclotomic Iwasawa theory and
the non-commutative Iwasawa theory for abelian varieties over a number field
initiated by Ma...
Ochiai Tadashi
COMPOSITIO MATHEMATICA   142(5) 1157-1200   Sep 2006   [Refereed]
Euler system for Galois deformation
Tadashi Ochiai
55 113-146   2005   [Refereed]
A generalization of the Coleman map for Hida deformation
Tadashi Ochiai
American Journal of Mathematics   125 849-892   2003   [Refereed]

Books etc

 
Algebraic Number Theory and Re- lated Topics 2013
Tadashi Ochiai (Part:Joint Editor)
Sep 2015   
Algebraic Number Theory and Re- lated Topics 2012
Tadashi Ochiai (Part:Joint Editor)
Oct 2014   
Iwasawa theory and its perspetive I
Tadashi Ochiai
Iwanami Syoten   Sep 2014   ISBN:ISBN-13: 978-4000298216

Conference Activities & Talks

 
Endoscopic congruences and adjoint L-values for GSp(4) [Invited]
OCHIAI Tadashi
Recent advances in the arithmetic of Galois representations (Universita di Genova/Italy)   18 Jul 2019   
Congruences endoscopiques et fonction L adjointe pour GSp(4) [Invited]
OCHIAI Tadashi
Seminaire: Groupes Reductifs et Formes Automorphes (Universite Paris 7)   18 Mar 2019   
Congruences of modular forms and special values of L-functions [Invited]
OCHIAI Tadashi
14 Feb 2019   
Overview of p-adic L-function [Invited]
OCHIAI Tadashi
Special Values of Automorphic L-functions and Associated p-adic L-Functions (Casa Mathematica Oxaca/Mexico)   1 Oct 2018   
Endoscopic congruences modulo adjoint L-values for GSp(4) [Invited]
Tadashi Ochiai
6 Sep 2018   

Association Memberships