Basic Information

Faculty

• Faculty of Science

Email Address

• Email Address

  atobe.hiraku.4ikyoto-u.ac.jp

Professional Memberships

• 日本数学会

Academic Degree

• 24 Mar. 2014

  京都大学修士（理学）
• 23 Mar. 2017

  京都大学博士（理学）

Academic Resume (Graduate Schools)

• 京都大学, 大学院理学研究科博士後期課程数学・数理解析専攻, 修了
• 京都大学, 大学院理学研究科修士課程数学・数理解析専攻, 修了

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部理学科, 卒業

Research History

• From Apr. 2024, To Present

  京都大学大学院理学研究科数学教室, 准教授
• From Jan. 2021, To Mar. 2024

  北海道大学 大学院理学研究院 准教授
• From Oct. 2018, To Dec. 2020

  北海道大学 大学院理学研究院 助教
• From Apr. 2017, To Sep. 2018

  日本学術振興会 特別研究員(PD)
• From Apr. 2014, To Mar. 2017

  日本学術振興会 特別研究員(DC1)

ID,URL

• ORCID ID

  0009-0002-6728-221X

• J-Global ID

  201901005876069439

researchmap URL

• https://researchmap.jp/atobe_hiraku

Research

Research Interests

• A-パケット
• Miyawaki lifts
• theta lifts
• Jacquet modules
• Local Langlands correspondence
• automorphic representations

Research Areas

• Natural sciences, Algebra, 保型表現論

Papers

• Local newforms for generic representations of unramified even unitary groups I: Even conductor case

  Hiraku Atobe

  Forum of Mathematics, Sigma, 03 Feb. 2025, Peer-reviewed

  Access this paper :

  
• Construction of p-adic Adams-Barbasch-Vogan packets

  Hiraku Atobe

  Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., May 2024, Peer-reviewed, Invited, Lead author, Last author, Corresponding author

  
• Mœglin's explicit construction of local A-packets

  Hiraku Atobe

  Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., May 2024, Peer-reviewed, Invited, Lead author, Last author, Corresponding author

  
• An Analogue of Ladder Representations for Classical Groups

  Hiraku Atobe

  International Mathematics Research Notices, 05 Feb. 2024, Peer-reviewed, Lead author, Last author, Corresponding author

  
• The set of local -packets containing a given representation

  Hiraku Atobe

  Journal für die reine und angewandte Mathematik (Crelles Journal), 27 Oct. 2023, Peer-reviewed

  
• Harder's conjecture I

  Hiraku ATOBE; Masataka CHIDA; Tomoyoshi IBUKIYAMA; Hidenori KATSURADA; Takuya YAMAUCHI

  Journal of the Mathematical Society of Japan, 14 Mar. 2023, Peer-reviewed, Lead author

  
• The explicit Zelevinsky–Aubert duality

  Hiraku Atobe; Alberto Mínguez

  Compositio Mathematica, 20 Feb. 2023, Peer-reviewed, Lead author

  
• Local newforms for the general linear groups over a non-archimedean local field

  Hiraku Atobe; Satoshi Kondo; Seidai Yasuda

  Forum of Mathematics, Pi, Dec. 2022, Peer-reviewed, Lead author, Corresponding author

  
• Construction of local A-packets

  Hiraku Atobe

  Journal für die reine und angewandte Mathematik (Crelles Journal), 01 Sep. 2022, Peer-reviewed, Lead author, Last author, Corresponding author

  
• On the socles of certain parabolically induced representations of p-adic classical groups

  Hiraku Atobe

  Representation Theory, Apr. 2022, Peer-reviewed, Lead author, Last author, Corresponding author

  
• On an algorithm to compute derivatives

  Hiraku Atobe

  manuscripta mathematica, 04 Mar. 2021, Peer-reviewed, Lead author, Last author, Corresponding author

  
• A theory of Miyawaki liftings: the Hilbert–Siegel case

  Hiraku Atobe

  Mathematische Annalen, Apr. 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Jacquet modules and local Langlands correspondence

  Hiraku Atobe

  Inventiones mathematicae, Mar. 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• On the non-vanishing of theta liftings of tempered representations of U(p,q)

  Hiraku Atobe

  Advances in Mathematics, Mar. 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• The local theta correspondence and the local Gan–Gross–Prasad conjecture for the symplectic-metaplectic case

  Hiraku Atobe

  Mathematische Annalen, Jun. 2018, Peer-reviewed, Lead author, Last author, Corresponding author

  
• On the Miyawaki lifts of hermitian modular forms

  Hiraku Atobe; Hisashi Kojima

  Journal of Number Theory, Apr. 2018, Peer-reviewed, Lead author, Corresponding author

  
• Local theta correspondence of tempered representations and Langlands parameters

  Hiraku Atobe; Wee Teck Gan

  Inventiones mathematicae, Nov. 2017, Peer-reviewed, Lead author

  
• On the local Langlands correspondence and Arthur conjecture for even orthogonal groups

  Hiraku Atobe; Wee Teck Gan

  Representation Theory of the American Mathematical Society, 04 Oct. 2017, Peer-reviewed, Lead author

  
• On the Uniqueness of Generic Representations in an $L$-Packet

  Hiraku Atobe

  International Mathematics Research Notices, 25 Oct. 2016, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Pullbacks of Hermitian Maass lifts

  Hiraku Atobe

  Journal of Number Theory, Aug. 2015, Peer-reviewed, Lead author, Last author, Corresponding author

  Access this paper :

  

Misc.

• PULLBACKS OF HERMITIAN MAASS LIFTS (Automorphic Forms and Related Zeta Functions)

  ATOBE HIRAKU

  RIMS Kokyuroku, Feb. 2015

  Access this misc :

  

Presentations

• Local intertwining relation for GL(n)

  跡部発

  Number Theory and Representation Theory seminar at the Institute for Advanced Study in Mathematics (IASM) at Zhejiang University, 26 Mar. 2025, Invited

  
• Local intertwining relations for GL(N)

  跡部発

  Langlands and Harmonic Analysis(第9回), 13 Mar. 2025

  
• Local Intertwining Relations

  跡部発

  RIMS 共同研究(公開型) 「保型形式 · 保型表現の数論的側面」, 22 Jan. 2025

  
• Jacquet modules of tempered representations of O(2n)

  Hiraku Atobe

  KIAS Activities Seminars, 22 Jul. 2024, Invited

  
• Local newforms for unramified unitary groups

  Hiraku Atobe

  HKU NUMBER THEORY DAYS 2024, 25 Jun. 2024, Invited

  
• Local newforms for unramified even unitary groups

  跡部発

  数論合同セミナー, 31 May 2024

  
• Local newforms for unramified even unitary groups

  跡部発

  Langlands and Harmonic Analysis (第7回), 12 Mar. 2024

  
• Local newforms for unramified odd unitary groups

  Hiraku Atobe

  Conference on Harish-Chandra Representation Theory & Harmonic Analysis, 09 Oct. 2023, Invited

  
• 代数系の紹介

  跡部発

  学科紹介, 29 Sep. 2023

  
• 古典群のladder表現について

  跡部発

  Langlands and Harmonic Analysis 第6回, 09 Mar. 2023

  
• Local newforms for unramified odd unitary groups

  跡部発

  2022年日本数学会秋季総合分科会, 14 Sep. 2022, Invited

  
• Computation of local A-packets in Sage

  Hiraku Atobe

  Workshop on "Arthur packets and related problems", 22 Jun. 2022, Invited

  
• 古典群の Jacquet 加群について

  跡部発

  第5回数理新人セミナー, 10 Feb. 2022, Invited

  
• p-進シンプレクティック群におけるArthur型の表現の決定

  跡部発

  京都大学談話会, 12 Jan. 2022, Invited

  
• 数の表記法について

  跡部発

  数学科サイエンスグローブ, 08 Dec. 2021

  
• On the socles of certain parabolically induced representations of p-adic classical groups

  跡部発

  8th Kyoto conference on automorphic forms, 27 Nov. 2021

  
• The Zelevinsky-Aubert duality for classical groups

  跡部発

  Séminaire de l'équipe GAGALie, 25 Nov. 2021, Invited

  
• On the socles of certain parabolically induced representations of p-adic classical groups

  跡部発

  2021 年度表現論シンポジウム, 18 Nov. 2021

  
• Local newforms for GL(n)

  跡部発

  Sheffield Number Theory Seminar, 12 Nov. 2021, Invited

  
• On the socles of certain parabolically induced representations of p-adic classical groups

  跡部発

  Seminar on Representation Theory and Algebraic Geometry, 27 Oct. 2021, Invited

  
• Local newforms for GL(n)

  跡部発

  金沢整数論オータムワークショップ ２０２１, 21 Oct. 2021

  
• SDGs セミナー 個人ワーク発表

  跡部発

  次世代研究者のためのSDGsセミナー, 09 Sep. 2021

  
• Construction of local A-packets

  跡部発

  Automorphic Forms, Geometry and Arithmetic, 27 Aug. 2021, Invited

  
• ピタゴラスの三角形

  跡部発

  第117回数学教育実践研究会, 05 Jun. 2021

  
• 局所A-パケットの構成について

  跡部発

  早稲田大学整数論セミナー, 21 May 2021

  
• Construction of local A-packets

  跡部発

  Langlands and Harmonic Analysis (第5回), 11 Mar. 2021

  
• Construction of local A-packets

  Hiraku Atobe

  Automorphic Project & Research Seminar, 20 Feb. 2021, Invited

  
• The Zelevinsky-Aubert duality for classical groups

  Hiraku Atobe

  Seminars, in the University of Utah, 18 Feb. 2021, Invited

  
• The Zelevinsky-Aubert duality for classical groups

  Hiraku Atobe

  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」, 28 Jan. 2021

  
• The Zelevinsky-Aubert duality for classical groups

  Hiraku Atobe

  Seminar ``Representation Theory and Automorphic Forms'', in University of Vienna, 10 Nov. 2020, Invited

  
• On Jantzen's algorithm to compute derivatives

  跡部発

  7th Kyoto conference on automorphic forms, 19 Jun. 2020

  
• Introduction to Arthur's multiplicity formula

  跡部発

  22nd Autumn Workshop on Number Theory, 30 Oct. 2019

  
• 実数の近似

  跡部発

  北海道大学学科紹介, 26 Sep. 2019

  
• Jacquet加群と局所Langlands対応

  跡部発

  2019年度秋季総合分科会・代数学分科会特別講演, 19 Sep. 2019, Invited

  
• ピタゴラスの三角形

  跡部発

  数学科サイエンスグローブ, 01 Jul. 2019

  
• 局所Langlands対応とJacquet加群

  跡部発

  Langlands and Harmonic Analysis (第4回), 06 Mar. 2019

  
• Liftings of vector valued Siegel modular forms

  Hiraku Atobe

  RIMS共同研究(公開型)「保型形式，保型表現とその周辺」, 21 Jan. 2019

  
• Introductory courses on Arthur packets 7, 8

  Hiraku Atobe

  On the Langlands Program: Endoscopy and Beyond, 21 Dec. 2018, Invited

  
• Introductory courses on Arthur packets 3, 4

  Hiraku Atobe

  On the Langlands Program: Endoscopy and Beyond, 19 Dec. 2018, Invited

  
• 次数2のベクトル値Siegelモジュラー形式からのリフティング

  跡部発

  北海道大学談話会, 14 Nov. 2018, Invited

  
• 局所宮脇リフトについて

  跡部発

  早稲田整数論セミナー, 28 Sep. 2018, Invited

  
• On the Miyawaki liftings

  21st Autumn Workshop on Number Theory, 18 Sep. 2018

  
• Arthur's multiplicity formula and its application

  跡部発

  21st Autumn Workshop on Number Theory, 17 Sep. 2018

  
• On the global Miyawaki liftings

  Hiraku Atobe

  The 4th Japan-Taiwan Joint Conference on Number Theory, 06 Sep. 2018, Invited

  
• 保型形式のリフティングの最近の進展について

  跡部発

  第63回代数学シンポジウム, 03 Sep. 2018, Invited

  
• 宮脇リフトについて

  跡部発

  早稲田整数論セミナー, 20 Jul. 2018, Invited

  
• 局所宮脇リフトについて

  跡部発

  第17回仙台広島整数論集会, 13 Jul. 2018

  
• 保型表現におけるRamanujan予想と様々なリフティング

  大阪市立大学談話会, 04 Jul. 2018

  
• On the global Miyawaki liftings

  跡部発

  5th Kyoto conference on automorphic forms, 29 Jun. 2018

  
• The local Miyawaki liftings and the Gan-Gross-Prasad conjecture

  跡部発

  RIMS 共同研究（公開型）「表現論と代数、解析、幾何をめぐる諸問題」, 21 Jun. 2018

  
• L-関数の特殊値と宮脇リフトの非消滅性

  跡部発

  特殊関数論セミナー, 18 May 2018, Invited

  
• 宮脇リフトに関する局所Howe双対性

  跡部発

  Langlands and Harmonic Analysis (第3回), 14 Mar. 2018

  
• An explicit description of the local theta correspondence 2

  Hiraku Atobe

  Seminars, in Korea Institute for Advanced Study, 21 Dec. 2017, Invited

  
• An explicit description of the local theta correspondence 1

  Hiraku Atobe

  Seminars, in Korea Institute for Advanced Study, 19 Dec. 2017, Invited

  
• On the Miyawaki lifts of hermitian modular forms

  Hiraku Atobe

  3rd Japanese-German Number Theory Workshop, 21 Nov. 2017, Invited

  
• 局所Gan-Gross-Prasad予想について

  跡部発

  Workshop on ``Actions of Reductive Groups and Global Analysis'', 19 Aug. 2017

  
• Gan-Gross-Prasad 予想 (Fourier-Jacobi case)

  跡部発

  倉敷整数論集会, 31 Jul. 2017

  
• A conjecture of Gross-Prasad and Rallis for metaplectic groups

  跡部発

  RIMS共同研究（公開型）「表現論とその周辺分野の広がり」, 22 Jun. 2017

  
• A conjecture of Gross-Prasad and Rallis for metaplectic groups

  跡部発

  代数学コロキウム, 12 Apr. 2017

  
• Non-vanishing of local theta liftings

  跡部発

  愛媛大学代数セミナー, 30 Mar. 2017, Invited

  
• $L$-parameters and $A$-parameters for real reductive groups

  跡部発

  Langlands and Harmonic Analysis (第2回), 07 Mar. 2017

  
• A conjecture of Gross-Prasad and Rallis for metaplectic groups

  Hiraku Atobe

  The 2nd KTGU Mathematics Workshop for Young Researchers, 20 Feb. 2017

  
• On the non-vanishing of theta liftings of tempered representations of U(p,q)

  Hiraku Atobe

  Representation Theory and Number Theory, in NUS, 16 Feb. 2017, Invited

  
• テータ対応入門

  跡部発

  「p進数論幾何とその周辺」セミナー, 13 Dec. 2016, Invited

  
• U(p,q)のテータリフトの非消滅性について

  跡部発

  2016年度表現論シンポジウム, 30 Nov. 2016

  
• On the non-vanishing of local theta liftings

  Hiraku Atobe

  Workshop on Shimura varieties, representation theory and related topics, 22 Nov. 2016

  
• On the local Langlands correspondence and Arthur conjecture for orthogonal groups

  跡部発

  九大代数学セミナー, 29 Jul. 2016, Invited

  
• On the uniqueness part of Shahidi's $L$-packet conjecture

  Hiraku Atobe

  Pan Asia Number Theory Conference 2016, 12 Jul. 2016, Invited

  
• Local theta correspondence and local Langlands correspondence

  跡部発

  大阪大学整数論・保型形式セミナー, 24 Jun. 2016

  
• Local theta correspondence of tempered representations and Langlands parameters

  跡部発

  京都表現論セミナー, 22 Apr. 2016

  
• On the local Langlands correspondence and Arthur conjecture for orthogonal groups

  Hiraku Atobe

  New Developments in Representation Theory, 14 Mar. 2016, Invited

  
• L-packetの中のgeneric表現の一意性について

  跡部発

  ラングランズと調和解析, 08 Mar. 2016

  
• Local theta correspondence and local Langlands correspondence

  跡部発

  南大阪保型表現セミナー, 13 Feb. 2016, Invited

  
• モジュラー形式の持ち上げと引き戻し 2

  跡部発

  数論幾何学セミナー, 11 Dec. 2015, Invited

  
• モジュラー形式の持ち上げと引き戻し 1

  跡部発

  数論幾何学セミナー, 10 Dec. 2015, Invited

  
• Local theta correspondence of tempered representations and Langlands parameters

  跡部発

  2015年度表現論シンポジウム, 18 Nov. 2015

  
• 保型形式のリフティング

  跡部発

  第1回 京都大学理学研究科サイエンス倶楽部デイ, 07 Nov. 2015, Invited

  
• The local Gan-Gross-Prasad conjecture for symplectic-metaplectic groups

  跡部発

  第14回仙台広島整数論集会, 17 Jul. 2015

  
• The local Gan-Gross-Prasad conjecture for symplectic-metaplectic groups

  跡部発

  3nd Kyoto conference on automorphic forms, 26 Jun. 2015

  
• The local Gan-Gross-Prasad conjecture for symplectic-metaplectic groups

  跡部発

  東北大学代数セミナー, 14 May 2015, Invited

  
• The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case

  Hiraku Atobe

  Number Theory Learning Seminar, in NUS, 12 Mar. 2015, Invited

  
• Pullbacks of hermitian Maass lifts 2

  室蘭整数論セミナー, 24 Oct. 2014

  
• Pullbacks of hermitian Maass lifts 1

  跡部発

  室蘭整数論セミナー, 22 Oct. 2014

  
• The local Gan-Gross-Prasad conjecture for symplectic-metaplectic groups

  跡部発

  金沢数論ミニ集会2014, 14 Oct. 2014

  
• Pullbacks of hermitian Maass lifts

  跡部発

  第13回仙台広島整数論集会, 16 Jul. 2014

  
• The local Gan-Gross-Prasad conjecture for symplectic-metaplectic groups

  跡部発

  第 11 回城崎新人セミナー, 21 Feb. 2014

  
• Pullbacks of hermitian Maass lifts

  跡部発

  第7回ゼータ若手研究集会, 15 Feb. 2014

  
• Pullbacks of hermitian Maass lifts

  Hiraku Atobe

  Automorphic forms and related zeta functions, 24 Jan. 2014

  
• 星型を作ろう

  跡部発

  第3回京都数学オリンピック道場, 15 Dec. 2013, Invited

  
• エルミートマースリフトの制限

  跡部発

  早稲田整数論セミナー, 06 Dec. 2013

  
• Pullbacks of hermitian Maass lifts

  跡部発

  京大数論合同セミナー, 04 Oct. 2013

  
• 10進整数

  跡部発

  京都府立洛北高等学校, 13 Jun. 2013, Invited

  

Awards

• 13 May 2022

  ディスティングイッシュトリサーチャー（北海道大学）
• 14 Apr. 2021

  文部科学大臣表彰若手科学者賞（文部科学省）
• 25 Sep. 2018

  日本数学会賞建部賢弘賞奨励賞（一般社団法人日本数学会）

External funds: Kakenhi

• 局所新形式と保型表現の数え上げ

  Grant-in-Aid for Early-Career Scientists

  Basic Section 11010:Algebra-related

  Hokkaido University

  跡部 発

  From 01 Apr. 2023, To 31 Mar. 2028, Granted

  局所新形式;Rankin-Selberg積分;局所テータリフト;Aパラメーター;保型表現

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K12946/
• 局所 Langlands 対応の圏化に関する多角的研究

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 11:Algebra, geometry, and related fields

  The University of Tokyo

  今井 直毅

  From 01 Apr. 2022, To 31 Mar. 2027, Granted

  局所 Langlands 対応;Langlands 対応

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22H00093/
• Research on classification and constructions of automorphic representations using liftings

  Grant-in-Aid for Early-Career Scientists

  Basic Section 11010:Algebra-related

  Hokkaido University

  Hiraku ATOBE

  From 01 Apr. 2019, To 31 Mar. 2024, Project Closed

  Jacquet加群;Aubert双対;局所Aパケット;Harder予想;局所新形式;基本補題;ラダー表現;Arthur型表現;新形式;既約表現の微分;局所A-パケット;宮脇リフト;Arthur分類;ラングランズ対応;Aパケット

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K14494/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Algebra II

  3101, Fall, Faculty of Science, 4