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ATOBE Hiraku  跡部 発

ORCIDConnect your ORCID iD *help
Researcher Number 50837284
Other IDs
Affiliation (Current) 2025: 京都大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2024: 京都大学, 理学研究科, 准教授
2020 – 2023: 北海道大学, 理学研究院, 准教授
2019: 北海道大学, 理学研究院, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related
Except Principal Investigator
Medium-sized Section 11:Algebra, geometry, and related fields
Keywords
Principal Investigator
局所新形式 / 保型表現 / Aパラメーター / 局所テータリフト / Rankin-Selberg積分 / Aパケット / ラングランズ対応 / Arthur分類 / 宮脇リフト / 局所A-パケット … More / 既約表現の微分 / 新形式 / Arthur型表現 / ラダー表現 / 基本補題 / Harder予想 / 局所Aパケット / Aubert双対 / Jacquet加群 … More
Except Principal Investigator
Langlands 対応 / 局所 Langlands 対応 Less
  • Research Projects

    (3 results)
  • Research Products

    (36 results)
  • Co-Researchers

    (3 People)
  •  局所新形式と保型表現の数え上げPrincipal Investigator

    • Principal Investigator
      跡部 発
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Hokkaido University
  •  局所 Langlands 対応の圏化に関する多角的研究

    • Principal Investigator
      今井 直毅
    • 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
      The University of Tokyo
  •  Research on classification and constructions of automorphic representations using liftingsPrincipal Investigator

    • Principal Investigator
      ATOBE Hiraku
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Hokkaido University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

  • [Journal Article] An Analogue of Ladder Representations for Classical Groups2024

    • Author(s)
      Atobe Hiraku
    • Journal Title

      International Mathematics Research Notices

      Volume: - Issue: 9 Pages: 7891-7913

    • DOI

      10.1093/imrn/rnae004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K12946, KAKENHI-PROJECT-19K14494
  • [Journal Article] Harder's conjecture I2023

    • Author(s)
      ATOBE Hiraku、CHIDA Masataka、IBUKIYAMA Tomoyoshi、KATSURADA Hidenori、YAMAUCHI Takuya
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 75 Issue: 4 Pages: 1339-1408

    • DOI

      10.2969/jmsj/87988798

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494, KAKENHI-PROJECT-19H01778, KAKENHI-PROJECT-23K12946, KAKENHI-PROJECT-21K03152, KAKENHI-PROJECT-23K03031, KAKENHI-PROJECT-23K03038, KAKENHI-PROJECT-19K03424, KAKENHI-PROJECT-20H00115, KAKENHI-PROJECT-22H00096
  • [Journal Article] The explicit Zelevinsky-Aubert duality2023

    • Author(s)
      Atobe Hiraku、Minguez Alberto
    • Journal Title

      Compositio Mathematica

      Volume: 159 Issue: 2 Pages: 380-418

    • DOI

      10.1112/s0010437x22007904

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Journal Article] The set of local A-packets containing a given representation2023

    • Author(s)
      Atobe Hiraku
    • Journal Title

      Journal fur die reine und angewandte Mathematik (Crelles Journal)

      Volume: 0 Issue: 0 Pages: 263-286

    • DOI

      10.1515/crelle-2023-0073

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K12946, KAKENHI-PROJECT-19K14494
  • [Journal Article] On the socles of certain parabolically induced representations of p-adic classical groups2022

    • Author(s)
      Atobe Hiraku
    • Journal Title

      Representation Theory of the American Mathematical Society

      Volume: 26 Issue: 18 Pages: 515-541

    • DOI

      10.1090/ert/612

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Journal Article] Construction of local A-packets2022

    • Author(s)
      Atobe Hiraku
    • Journal Title

      Journal fur die reine und angewandte Mathematik (Crelles Journal)

      Volume: 2022 Issue: 790 Pages: 1-51

    • DOI

      10.1515/crelle-2022-0030

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Journal Article] Local newforms for the general linear groups over a non-archimedean local field2022

    • Author(s)
      Atobe Hiraku、Kondo Satoshi、Yasuda Seidai
    • Journal Title

      Forum of Mathematics, Pi

      Volume: 10

    • DOI

      10.1017/fmp.2022.17

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494, KAKENHI-PROJECT-23K20782
  • [Journal Article] On an algorithm to compute derivatives2021

    • Author(s)
      Atobe Hiraku
    • Journal Title

      manuscripta mathematica

      Volume: 167 Issue: 3-4 Pages: 721-763

    • DOI

      10.1007/s00229-021-01285-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Journal Article] Jacquet modules and local Langlands correspondence2020

    • Author(s)
      Atobe Hiraku
    • Journal Title

      Inventiones mathematicae

      Volume: 219 Issue: 3 Pages: 831-871

    • DOI

      10.1007/s00222-019-00918-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Journal Article] A theory of Miyawaki liftings: the Hilbert?Siegel case2020

    • Author(s)
      Atobe Hiraku
    • Journal Title

      Mathematische Annalen

      Volume: 376 Issue: 3-4 Pages: 1467-1535

    • DOI

      10.1007/s00208-019-01946-w

    • NAID

      120007000857

    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Journal Article] On the non-vanishing of theta liftings of tempered representations of U(p,q)2020

    • Author(s)
      Atobe Hiraku
    • Journal Title

      Advances in Mathematics

      Volume: 363 Pages: 106984-106984

    • DOI

      10.1016/j.aim.2020.106984

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Local newforms for unramified even unitary groups2024

    • Author(s)
      跡部発
    • Organizer
      Langlands and Harmonic Analysis (第7回)
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Local newforms for unramified even unitary groups2024

    • Author(s)
      跡部発
    • Organizer
      Langlands and Harmonic Analysis (第7回)
    • Data Source
      KAKENHI-PROJECT-23K12946
  • [Presentation] 古典群のladder表現について2023

    • Author(s)
      跡部発
    • Organizer
      Langlands and Harmonic Analysis 第6回
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Local newforms for unramified odd unitary groups2023

    • Author(s)
      Hiraku Atobe
    • Organizer
      Conference on Harish-Chandra Representation Theory & Harmonic Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12946
  • [Presentation] Local newforms for unramified odd unitary groups2023

    • Author(s)
      Hiraku Atobe
    • Organizer
      Conference on Harish-Chandra Representation Theory & Harmonic Analysis
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] 古典群の Jacquet 加群について2022

    • Author(s)
      跡部発
    • Organizer
      第5回数理新人セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Computation of local A-packets in Sage2022

    • Author(s)
      Hiraku Atobe
    • Organizer
      Workshop on "Arthur packets and related problems"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] p-進シンプレクティック群におけるArthur型の表現の決定2022

    • Author(s)
      跡部発
    • Organizer
      京都大学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Local newforms for unramified odd unitary groups2022

    • Author(s)
      跡部発
    • Organizer
      2022年日本数学会秋季総合分科会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] On the socles of certain parabolically induced representations of p-adic classical groups2021

    • Author(s)
      跡部発
    • Organizer
      Seminar on Representation Theory and Algebraic Geometry, in The Weizmann Institute of Science
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Construction of local A-packets2021

    • Author(s)
      跡部発
    • Organizer
      Automorphic Project & Research Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] 局所A-パケットの構成について2021

    • Author(s)
      跡部発
    • Organizer
      早稲田大学整数論セミナー
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] On the socles of certain parabolically induced representations of p-adic classical groups2021

    • Author(s)
      跡部発
    • Organizer
      2021 年度表現論シンポジウム
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Construction of local A-packets2021

    • Author(s)
      跡部発
    • Organizer
      Langlands and Harmonic Analysis(第5回)
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] On the socles of certain parabolically induced representations of p-adic classical groups2021

    • Author(s)
      跡部発
    • Organizer
      8th Kyoto conference on automorphic forms
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Construction of local A-packets2021

    • Author(s)
      跡部発
    • Organizer
      Automorphic Forms, Geometry and Arithmetic
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Local newforms for GL(n)2021

    • Author(s)
      跡部発
    • Organizer
      金沢整数論オータムワークショップ 2021
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Local newforms for GL(n)2021

    • Author(s)
      跡部発
    • Organizer
      Sheffield Number Theory Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] The Zelevinsky-Aubert duality for classical groups2021

    • Author(s)
      跡部発
    • Organizer
      RIMS共同研究(公開型)「保型形式,保型表現, ガロア表現とその周辺」
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] The Zelevinsky-Aubert duality for classical groups2021

    • Author(s)
      跡部発
    • Organizer
      Seminars, in the University of Utah
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] The Zelevinsky-Aubert duality for classical groups2021

    • Author(s)
      跡部発
    • Organizer
      Seminaire de l'equipe GAGALie, in The University of Poitiers
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] The Zelevinsky-Aubert duality for classical groups2020

    • Author(s)
      跡部発
    • Organizer
      Seminar ``Representation Theory and Automorphic Forms'', in University of Vienna
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] On Jantzen's algorithm to compute derivatives2020

    • Author(s)
      跡部発
    • Organizer
      7th Kyoto conference on automorphic forms
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Introduction to Arthur's multiplicity formula2019

    • Author(s)
      跡部発
    • Organizer
      22nd Autumn Workshop on Number Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14494
  • [Presentation] Jacquet加群と局所Langlands対応2019

    • Author(s)
      跡部発
    • Organizer
      2019年度秋季総合分科会・代数学分科会特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14494
  • 1.  今井 直毅 (90597775)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  Koskivirta Jean・Stefan (00897613)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  越川 皓永 (10791452)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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