Nakamura Kentaro 中村健太郎

… Alternative Names

NAKAMURA Kentaro 中村健太郎

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Researcher Number	90595993
Affiliation (Current)	2025: 九州大学, 数理学研究院, 教授
Affiliation (based on the past Project Information) *help	2023 – 2025: 佐賀大学, 理工学部, 教授 2018 – 2022: 佐賀大学, 理工学部, 准教授 2016 – 2017: 佐賀大学, 工学(系)研究科(研究院), 准教授 2015: 佐賀大学, 大学院工学系研究科, 准教授 2014: 慶應義塾大学, 理工学部, 特任助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11010:Algebra-related
Keywords	Principal Investigator オイラー系 / 岩澤主予想 / p進L関数 / 局所イプシロン予想 / p進ガロア表現 / p進局所ラングランズ対応 / (phi, Gamma)加群 / ファイガンマ加群 / 楕円曲線 / 保型形式 … More / モジュラー曲線 / ゼータ元 / (phi,Gamma)加群 / p進ラングランズ対応 / p-進局所ラングランズ対応 / 岩澤理論 / ガロア表現 / （φ、Γ）加群 … More Except Principal Investigator 保型形式 / リーマン面 / KP階層 / 周期積分 / アーベル微分 / モジュライ空間 / 代数曲線 / アーベル多様体 / 整数論 / p進L関数 / 虚数乗法 / 楕円曲線 / L-関数 / L関数の特殊値 / ガロワ表現 / BSD予想 / p-進L関数 / 岩澤理論 / タイヒミュラー空間 / 準周期解 / テイト曲線 / 多重対数関数 / ソリトン解 / 非線形可積分系 / 数理物理 / 数論幾何 / 代数曲線のモジュライ空間 / アーベル積分 / マンフォード形式 / マンフォード曲線 / リーマン・ロッホ同型写像 / Floer理論 / 有限群スキーム / Witt 環 / symplectic　多様体 / 整モデル / 既約表現 / レベル構造 / 非可換ゼータ関数 / 双対分割定理 / 半アーベル群スキーム / ガウス分布 / 量子コホモロジー / ハミルトン構造 / Fleor理論 / ガンマ関数 / 超幾何級数 / モジュライ理論 / マッカイ対応 / ゼータ関数 / 超平面配置 / ミラー対称性 / フレア理論 / パンルヴェ方程式 / 安定性 / コンパクト化 / モジュライ / 国際研究者交流 / 虚数情報 / ドイツ / 国際情報交換 / 混合層 / L関数 / Eisenstein類 / p進Beilinson予想 / ポリログ / Hecke指標 Less

局所イプシロン予想の一般化と岩澤理論への応用Principal Investigator
- Principal Investigator
  
  中村健太郎
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Saga University
岩澤主予想と局所イプシロン予想の新展開Principal Investigator
- Principal Investigator
  
  中村健太郎
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Saga University
New developments in the anticyclotomic Iwasawa theory and special value formulas on L-functions
- Principal Investigator
  
  小林真一
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyushu University
高種数テイト曲線の周期の理論とベクトル値タイヒミュラー保型形式の数論
- Principal Investigator
  
  市川尚志
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Saga University
Applications of p-adic Langlands correspondence to Iwasawa main conjecturePrincipal Investigator
- Principal Investigator
  
  Nakamura Kentaro
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Saga University
Arithmetic geometry of the moduli spaces of algebraic curves and abelian varieties, and its applications
- Principal Investigator
  
  Ichikawa Takashi
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Generalized Iwasawa main conjecture and p-adic local Langland correspondencePrincipal Investigator
- Principal Investigator
  
  Nakamura Kentaro
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Geometric moduli theory and its theoretical applications
- Principal Investigator
  
  Nakamura Iku
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Strategic Research to solve certain conjectures in Arithmetic Geometry
- Principal Investigator
  
  BANNAI Kenichi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (S)
- Research Field
  
  Algebra
- Research Institution
  Keio University

[Journal Article] Zeta morphisms for rank two universal deformations2023
- Author(s)
  Nakamura Kentaro
- Journal Title
  
  Inventiones mathematicae
  
  Volume: 234 Issue: 1 Pages: 171-290
- DOI
  10.1007/s00222-023-01203-7
- NAID
  120007187458
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03231, KAKENHI-PROJECT-22H00096
[Journal Article] Zeta morphisms for rank two deformations2021
- Author(s)
  Kentaro Nakamura
- Journal Title
  
  RIMS Kokyuroku No.2204
  
  Volume: 2204 Pages: 1-10
- Open Access
- Data Source
  KAKENHI-PROJECT-19K03404
[Journal Article] Remarks on Kato's Euler systems for elliptic curves with additive reduction2020
- Author(s)
  Chan-Ho Kim, Kentaro Nakamura
- Journal Title
  
  Journal of Number Theory
  
  Volume: 210 Pages: 249-279
- DOI
  10.1016/j.jnt.2019.09.011
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03404
[Journal Article] A generalization of Kato's local $\varepsilon$-conjecture for $(\varphi,\Gamma)$-modules over the Robba ring2017
- Author(s)
  Kentaro Nakamura
- Journal Title
  
  Algebra and Number Theory
  
  Volume: 11, no.2 Pages: 319-404
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Journal Article] Local epsilon isomorphisms for rank two p-adic representations of Gal(\bar{Q}_p/Q_p) and a functional equation of Kato's Euler system2017
- Author(s)
  Kentaro Nakamura
- Journal Title
  
  Cambridge Journal of Mathematics
  
  Volume: 5 Issue: 3 Pages: 281-368
- DOI
  10.4310/cjm.2017.v5.n3.a1
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05179, KAKENHI-PROJECT-16K17556
[Journal Article] The local and global ε-conjectures for the rank two case2017
- Author(s)
  Kentaro Nakamura
- Journal Title
  
  RIMS Kokyuroku Bessatsu (巻号未定) Algebraic Number Theory and Related Topics 2014
  
  Volume: 未定 Pages: 153-173
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Journal Article] Compactification by GIT stability of the moduli space of abelian varieties2016
- Author(s)
  I.Nakamura
- Journal Title
  
  Advanced Studies in Pure Math.
  
  Volume: 69 Pages: 207-286
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23224001
[Journal Article] Compactification by GIT stability　of the moduli space of abelian varieties2016
- Author(s)
  I. Nakamura
- Journal Title
  
  Advanced Studies in Pure Math.
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23224001
[Journal Article] Zariski density of crystalline representations for any p-adic field2014
- Author(s)
  Kentaro Nakamura
- Journal Title
  
  J.Math. Sci. Univ. Tokyo.
  
  Volume: 21 Pages: 79-127
- NAID
  120005678249
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23224001
[Journal Article] Iwasawa theory of de Rham (φ,Γ)-modules over the Robba rings2014
- Author(s)
  K.Nakamura
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: 13 Issue: 1 Pages: 65-118
- DOI
  10.1017/s1474748013000078
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23224001
[Journal Article] Moduli of Abelian Varieties and their compactifications2013
- Author(s)
  I.Nakamura
- Journal Title
  
  第11回岡シンポジウム講義録
  
  Volume: 11 Pages: 53-114
- Data Source
  KAKENHI-PROJECT-23224001
[Journal Article] Moduli of Abelian Varieties and their compactifications2012
- Author(s)
  I.Nakamura
- Journal Title
  
  第56回代数学シンポジウム報告集
  
  Volume: 巻なし Pages: 1-16
- Data Source
  KAKENHI-PROJECT-23224001
[Journal Article] 2次元クリスタリン表現のZariski稠密性2011
- Author(s)
  Kentaro Nakamura
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B25 Pages: 161-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21674001
[Journal Article] Classification of two dimensional split trianguline representations of p-adic fields2009
- Author(s)
  K.Nakamura
- Journal Title
  
  Comp.Math. 145
  
  Pages: 865-914
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] 階数2のp進ガロア表現に対する岩澤理論2024
- Author(s)
  中村　健太郎
- Organizer
  日本数学会代数学賞受賞講演
- Invited
- Data Source
  KAKENHI-PROJECT-22K03231
[Presentation] Construction of p-adic L-functions over the Coleman-Mazur eigencurve2023
- Author(s)
  Kentaro Nakamura
- Organizer
  Algebraic and Analytic Aspects of L-functions, Incheon, UNIST
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Construction of p-adic L-functions over the Coleman-Mazur eigencurve2023
- Author(s)
  Kentaro Nakamura
- Organizer
  Algebraic and Analytic Aspects of L-functions, Incheon, UNIST
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03231
[Presentation] Zeta morphisms for rank two universal deformations2023
- Author(s)
  Kentaro Nakamura
- Organizer
  Shimura Varieties and L-functions, MSRI
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03231
[Presentation] Zeta morphisms for rank two universal deformations2023
- Author(s)
  Kentaro Nakamura
- Organizer
  Shimura Varieties and L-functions, MSRI
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Construction of a p-adic L-function over the Coleman-Mazur eigencurve2022
- Author(s)
  中村健太郎
- Organizer
  Algebraic and Analytic Aspect of L-functions, Incheon, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] Zeta morphisms for rank two universal deformations2022
- Author(s)
  中村健太郎
- Organizer
  Shimura Varieties and L-functions, MSRI, Barkley
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] Coleman-Mazur 固有値曲線上のp進L関数2022
- Author(s)
  中村　健太郎
- Organizer
  代数的整数論とその周辺2022, RIMS
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Coleman-Mazur 固有値曲線上のp進L関数, RIMS2022
- Author(s)
  中村　健太郎
- Organizer
  代数的整数論とその周辺2022
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03231
[Presentation] Coleman-Mazur 固有値曲線上のp進L関数2022
- Author(s)
  中村健太郎
- Organizer
  RIMS研究集会「代数的整数論とその周辺2022」
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] p進ラングランズ対応と岩澤主予想について2021
- Author(s)
  中村　健太郎
- Organizer
  慶應義塾大学集中講義
- Invited
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Coleman-Mazur 固有曲線上の$p$進$L$関数2021
- Author(s)
  中村　健太郎
- Organizer
  数論幾何研究報告会
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Coleman-Mazur 固有曲線上の$p$進$L$関数について2021
- Author(s)
  中村　健太郎
- Organizer
  慶應義塾大学坂内健一研究室プロジェクト研究集会2021
- Invited
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Zeta morphisms for rank two universal deformations2021
- Author(s)
  Kentaro Nakamura
- Organizer
  RIMS conference “Automorphic forms, Automorphic representations, Galois representations, and its related topics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] ゼータ元の合同と岩澤主予想への応用2020
- Author(s)
  中村　健太郎
- Organizer
  RIMS　研究集会「代数的整数論とその周辺」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] GL_{2/Q}のp進Langlands対応と岩澤主予想2019
- Author(s)
  中村健太郎
- Organizer
  集中講義（東京大学）
- Invited
- Data Source
  KAKENHI-PROJECT-19K03404
[Presentation] Euler system for rank two universal deformation2018
- Author(s)
  Kentaro Nakamura
- Organizer
  Iwasawa Theory and Related Topics at Heidelberg University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] Euler system for rank two universal deformation2018
- Author(s)
  Kentaro Nakamura
- Organizer
  第4回日台整数論研究集会, 長崎五島
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] Construction of zeta element for rank two universal deformation2018
- Author(s)
  Kentaro Nakamura
- Organizer
  Iwasawa Theory and Related Topics (University of Heidelberg）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05179
[Presentation] Construction of zeta element for rank two universal deformation2018
- Author(s)
  Kentaro Nakamura
- Organizer
  p-adic cohomology and arithmetic geometry（東北大学）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05179
[Presentation] Construction of zeta element for rank two universal deformation2018
- Author(s)
  中村健太郎
- Organizer
  代数的整数論とその周辺（RIMS）
- Invited
- Data Source
  KAKENHI-PROJECT-17K05179
[Presentation] 階数２の普遍ガロア変形に対するゼータ同型の構成について2018
- Author(s)
  中村　健太郎
- Organizer
  代数的整数論とその周辺 at RIMS
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] Euler system for rank two universal deformation2018
- Author(s)
  Kentaro Nakamura
- Organizer
  p-adic cohomology and arithmetic geometry at Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] Construction of zeta element for rank two universal deformation2018
- Author(s)
  Kentaro Nakamura
- Organizer
  Japan-Taiwan Joint Conference on Number Theory 2018（長崎五島カンパーナホテル）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05179
[Presentation] p-進局所ラングランズ対応と岩澤主予想2017
- Author(s)
  中村　健太郎
- Organizer
  2017年度日本数学会秋季総合分科会　企画特別講演, 山形大学
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] 階数２の普遍ガロア変形に対するゼータ同型の構成に向けて2017
- Author(s)
  中村　健太郎
- Organizer
  Regulators in Niseko 2017, ヒルトンニセコビレッジ
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] A construction of local epsilon-isomorphisms using Colmez`s multiplicative convolution2017
- Author(s)
  Kentaro Nakamura
- Organizer
  p-adic Hodge Theory and Automorphic Forms, , Beijing international center for mathematical research, 北京
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] A construction of local epsilon isomorphisms using Colmez's multiplicative convolution2016
- Author(s)
  Kentaro Nakamura
- Organizer
  Hakodate workshop on arithmetic geometry 2016, 函館
- Place of Presentation
  函館アリーナ
- Year and Date
  2016-05-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] Moduli theory and the direct image sheaf $\pi_*(O_X)$2016
- Author(s)
  中村　郁
- Organizer
  研究集会「Tokyo Journal of Mathematics 筱田記念号刊行に寄せて
- Place of Presentation
  上智大学(東京都・千代田区)
- Year and Date
  2016-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] A construction of local epsilon isomorphisms using Colmez's multiplicative convolution2016
- Author(s)
  Kentaro Nakamura
- Organizer
  Workshop on Shimura varieties, representation theory and related topics
- Place of Presentation
  京都大学
- Year and Date
  2016-11-23
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] A construction of local epsilon isomorphisms using Colmez's multiplicative convolution2016
- Author(s)
  中村　健太郎
- Organizer
  ワークショップ「p進コホモロジーと数論幾何学」
- Place of Presentation
  東京電機大学
- Year and Date
  2016-07-28
- Invited
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] A construction of local epsilon isomorphisms using Colmez's multiplicative convolution2016
- Author(s)
  Kentaro Nakamura
- Organizer
  第三回日台整数論研究集会, 台北 (台湾)
- Place of Presentation
  Institute of Mathematics, Academia Sinica, Taipei, Taiwan
- Year and Date
  2016-09-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] A construction of local epsilon isomorphisms using Colmez's multiplicative convolution2016
- Author(s)
  Kentaro Nakamura
- Organizer
  Pan Asia Number Theory Conference 2016, 台湾
- Place of Presentation
  Institute of Mathematics, Academia Sinica, Taipei, Taiwan
- Year and Date
  2016-07-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] J. Bellaiche and G. Chenevier, "Families of Galois representations and Selmer groups" の概説2016
- Author(s)
  中村　健太郎
- Organizer
  ２０１６年度整数論サマースクール
- Place of Presentation
  諏訪湖ホテル
- Year and Date
  2016-08-25
- Invited
- Data Source
  KAKENHI-PROJECT-16K17556
[Presentation] Extended Dynkin diagrams and Global McKay correspondence2015
- Author(s)
  Iku Nakamura
- Organizer
  Lakeside Lecture of Acadmia Sinica
- Place of Presentation
  台北（台湾）
- Year and Date
  2015-06-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Local epsilon isomorphisms for rank two p-adic representations2015
- Author(s)
  中村　健太郎
- Organizer
  Geometrie arithmetique, theorie des representations et applications
- Place of Presentation
  ルミニー(フランス)
- Year and Date
  2015-06-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] G-orbit Hilbert schemes and McKay correspondence (1)-(4)2015
- Author(s)
  Iku Nakamura
- Organizer
  Seminar on Algebraic Geometry
- Place of Presentation
  台北（台湾）
- Year and Date
  2015-05-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] 佐武コンパクト化　---その誕生と発展2015
- Author(s)
  中村　郁
- Organizer
  研究集会-佐武先生の数学、佐武先生の思い出
- Place of Presentation
  東京大学数理科学研究科（東京都・目黒区）
- Year and Date
  2015-05-09
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] アーベル多様体のモジュライのコンパクト (1)(2)2015
- Author(s)
  中村　郁
- Organizer
  Moduli spaces of abelian varieties and curves,and related analysis
- Place of Presentation
  東京大学数理科学研究科（東京都・目黒区）
- Year and Date
  2015-12-15
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Local varepsilon-isomorphisms for rank two p-adic representations of GalQp and a functional equation of Kato's Euler system2014
- Author(s)
  Kentaro Nakamura
- Organizer
  玉原数論幾何研究集会
- Place of Presentation
  東京大学玉原セミナーハウス(群馬県)
- Year and Date
  2014-06-05
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Moduli of planar cubic curves - from Hesse to Mumford (1)(2)2014
- Author(s)
  I.Nakamura
- Organizer
  McGill university seminar
- Place of Presentation
  Montreal (カナダ)
- Year and Date
  2014-04-24
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Local varepsilon-isomorphisms for rank two p-adic representations of GalQp and a functional equation of Kato's Euler system2014
- Author(s)
  Kentaro Nakamura
- Organizer
  理数研研究集会「代数的整数論とその周辺2014」
- Place of Presentation
  京都大学(京都市)
- Year and Date
  2014-12-01
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Hesse cubics and GIT stability2014
- Author(s)
  Iku Nakamura
- Organizer
  Lakeside Lecture and 4 Lectures
- Place of Presentation
  Academia Sinica(台北,台湾)
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Hesse cubics and GIT stabilitｙ2014
- Author(s)
  I.Nakamura
- Organizer
  Quebec Vermont number theory seminar
- Place of Presentation
  Montreal (カナダ)
- Year and Date
  2014-05-22
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Local varepsilon-isomorphisms for rank two p-adic representations of GalQp and a functional equation of Kato's Euler system2014
- Author(s)
  Kentaro Nakamura
- Organizer
  第13回仙台広島整数論集会
- Place of Presentation
  東北大学(仙台市)
- Year and Date
  2014-07-18
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Compactification of the moduli space of abelian varieties(3 lectures)2013
- Author(s)
  Iku Nakamura
- Organizer
  Lecture　series of the 6th MSJ-SI, Development of Moduli Theory
- Place of Presentation
  RIMS, Kyoto University(京都市)
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Finite group schemes and moduli of abelian varieties structures2012
- Author(s)
  Iku Nakamura
- Organizer
  Arithmetic and Algebraic Geometry 2012
- Place of Presentation
  東京大学（東京都）
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Zariski density of crystalline representations for any p-adicfield2011
- Author(s)
  中村健太郎
- Organizer
  Workshop on the arithmetic geometry of Shimura varieties and Rapoport-Zink spaces
- Place of Presentation
  京都大学(招待講演)
- Year and Date
  2011-07-04
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Zariski density of crystalline representations2011
- Author(s)
  中村健太郎
- Organizer
  九州大数的整数論2011
- Place of Presentation
  九州大学
- Year and Date
  2011-02-17
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] アーベル多様体のモジュライとそのコンパクト化2011
- Author(s)
  中村　郁
- Organizer
  第56回代数学シンポジウム
- Place of Presentation
  岡山大学（岡山市）
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Zariski density of crystalline representations for any p-adic field2011
- Author(s)
  中村健太郎
- Organizer
  Boston-Keio Summer Workshop
- Place of Presentation
  Boston大学
- Year and Date
  2011-09-17
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Zariski density of crystalline representations2010
- Author(s)
  中村健太郎
- Organizer
  第9回仙台広島整数論集会
- Place of Presentation
  東北大学
- Year and Date
  2010-07-22
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Construction of p-adic families of trianguline representations2010
- Author(s)
  中村健太郎
- Organizer
  玉原数論幾何研究集会
- Place of Presentation
  玉原
- Year and Date
  2010-05-24
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Trianguline 表現と二次元クリスタリン表現のザリスキー稠密性について2010
- Author(s)
  中村健太郎
- Organizer
  数論幾何セミナー
- Place of Presentation
  名古屋大学
- Year and Date
  2010-01-12
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Zariski density of two dimensional trianguline representations of p-adic fields2009
- Author(s)
  中村健太郎
- Organizer
  p-進特殊関数と数論幾何
- Place of Presentation
  蔵王ゆと森倶楽部(宮城県)
- Year and Date
  2009-10-29
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Zariski density of two dimensional crystalline representations2009
- Author(s)
  中村健太郎
- Organizer
  代数セミナー
- Place of Presentation
  九州大学
- Year and Date
  2009-10-22
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] p-進体の二次元三角表現の Zariski 稠密性2009
- Author(s)
  中村健太郎
- Organizer
  第8回広島整数論集会
- Place of Presentation
  広島大学
- Year and Date
  2009-07-24
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] p-進体の二次元三角表現の Zariski 稠密性2009
- Author(s)
  中村健太郎
- Organizer
  p-adic Automorphic Forms and Arithmetic Geometry
- Place of Presentation
  大島開発総合センター(宮城県)
- Year and Date
  2009-07-29
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Trianguline representations and Zariski density of two dimensional cristalline representations2009
- Author(s)
  中村健太郎
- Organizer
  Keio-Yonsei Cooperative Research Conference on Mathematical Sciences 2009
- Place of Presentation
  延世大学(韓国・ソウル)
- Year and Date
  2009-11-19
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] 二次元クリスタリン表現の Zariski 稠密性2009
- Author(s)
  中村健太郎
- Organizer
  RIMS研究集会「代数的整数論とその周辺」2009
- Place of Presentation
  東京大学
- Year and Date
  2009-12-08
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] p-進表現入門I、II2009
- Author(s)
  中村健太郎
- Organizer
  第17回(2009年度)整数論サマースクール
- Place of Presentation
  アピカルイン京都
- Year and Date
  2009-08-19
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Trianguline 表現の分類と Zariski 稠密性について2009
- Author(s)
  中村健太郎
- Organizer
  日本数学会2009年度秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-21674001
[Presentation] Compactification of the moduli of abelian varieties and Closed immersions of $SQ_{g,K}$ into Alexeev's moduli
- Author(s)
  Iku Nakamura
- Organizer
  Workshop on arithmetic geometry
- Place of Presentation
  Kyushu University（福岡市）
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Compactification of the moduli of abelian varieties
- Author(s)
  Iku Nakamura
- Organizer
  Seminar on arithmetic geometry
- Place of Presentation
  McGill University(モントリオール,カナダ）
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Compactification of the moduli of abelian varieties
- Author(s)
  Iku Nakamura
- Organizer
  第11回岡シンポジウム
- Place of Presentation
  奈良女子大学（奈良市）
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] The complete moduli spaces of degenerate abelian varieties
- Author(s)
  Iku Nakamura
- Organizer
  Conference of the 6th MSJ-SI, Development of Moduli Theory
- Place of Presentation
  RIMS Kyoto University(京都市)
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Compactification of the moduli space of abelian varieties
- Author(s)
  Iku Nakamura
- Organizer
  The 6th Pacific RIM Conference on Mathematics 2013
- Place of Presentation
  Sapporo Convention Center(札幌市)
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Closed immersions of $SQ_{g,K}^{\rm{toric}}$ into Alexeev's moduli
- Author(s)
  Iku Nakamura
- Organizer
  Arithmetic and Algebraic Geometry 2013
- Place of Presentation
  University of Tokyo（東京都）
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Compactification of the moduli of abelian varieties and Closed immersions of $SQ_{g,K}$ into Alexeev's moduli
- Author(s)
  Iku Nakamura
- Organizer
  KIAS colloquium
- Place of Presentation
  Korea Institute of Advanced Study (ソウル,韓国)
- Invited
- Data Source
  KAKENHI-PROJECT-23224001
[Presentation] Compactification of the moduli space of abelian varieties
- Author(s)
  Iku Nakamura
- Organizer
  Seminar in arith- metic and algebraic geometry
- Place of Presentation
  Universiｔｙ Paris-Sud 11(パリ,フランス)
- Invited
- Data Source
  KAKENHI-PROJECT-23224001

1. Ichikawa Takashi (20201923)

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2. 庄田敏宏 (10432957)

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3. BANNAI Kenichi (90343201)

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4. TAKAI Yuki (90599698)

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5. MIURA Takashi (60631934)

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6. ARAI Keisuke (80422393)

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7. HAGIHARA Kei (30512173)

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8. KASHIO Tomokazu (10403106)

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9. TSUSHIMA Takahiro (70583912)

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10. Nakamura Iku (50022687)

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11. IWASAKI KATSUNORI (00176538)

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12. ONO KAORU (20204232)

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13. TERAO HIROAKI (90119058)

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14. WENG LIN (60304002)

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15. ASAKURA MASANORI (60322286)

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16. ISHII AKIRA (10252420)

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17. OOMOTO Toru (20264400)

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18. KATSURA TOSHIYUKI (40108444)

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19. KATSURADA HIDENORI (80133792)

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20. SAITO MASAHIKO (80183044)

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21. ABE NORIYUKI (00553629)

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22. TANABE KENICHIRO (10334038)

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23. HARASHITA SHUSHI (70396852)

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24. YOSHINAGA MASAHIKO (90467647)

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25. 小林真一 (80362226)

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26. 千田雅隆 (00451518)

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27. 大坪紀之 (60332566)

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28. 太田和惟 (70770775)

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29. 安田正大 (90346065)

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30. 山名俊介 (50633301)

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31. YAMAMOTO Shuji

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32. OTSUKI Rei

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33. HASEGAWA Yasuko

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34. HIROTSUNE Tomoki

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35. ONO Masataka

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36. KINGS Guido

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Nakamura Kentaro 中村 健太郎

NAKAMURA Kentaro 中村 健太郎

Research Projects

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Co-Researchers

局所イプシロン予想の一般化と岩澤理論への応用Principal Investigator

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岩澤主予想と局所イプシロン予想の新展開Principal Investigator

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New developments in the anticyclotomic Iwasawa theory and special value formulas on L-functions

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高種数テイト曲線の周期の理論とベクトル値タイヒミュラー保型形式の数論

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Applications of p-adic Langlands correspondence to Iwasawa main conjecturePrincipal Investigator

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Arithmetic geometry of the moduli spaces of algebraic curves and abelian varieties, and its applications

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Generalized Iwasawa main conjecture and p-adic local Langland correspondencePrincipal Investigator

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Geometric moduli theory and its theoretical applications

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Strategic Research to solve certain conjectures in Arithmetic Geometry

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[Journal Article] Zeta morphisms for rank two universal deformations2023

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[Journal Article] Zeta morphisms for rank two deformations2021

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[Journal Article] Remarks on Kato's Euler systems for elliptic curves with additive reduction2020

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[Journal Article] A generalization of Kato's local $\varepsilon$-conjecture for $(\varphi,\Gamma)$-modules over the Robba ring2017

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[Journal Article] Local epsilon isomorphisms for rank two p-adic representations of Gal(\bar{Q}_p/Q_p) and a functional equation of Kato's Euler system2017

Author(s)

Nakamura Kentaro 中村健太郎

NAKAMURA Kentaro 中村健太郎

[Journal Article] Compactification by GIT stability　of the moduli space of abelian varieties2016