Hiraga, Kaoru(Graduate School of Science, Division of Mathematics and Mathematical Sciences) | Activity Database on Education and Research, Kyoto University

Hiraga, Kaoru

Graduate School of Science, Division of Mathematics and Mathematical Sciences Senior Lecturer/ Junior Associate Professor

Last Updated :2025/05/01

Basic Information

Faculty

理学部

Academic Degree

理学修士(京都大学)

博士（理学）(京都大学)

Language of Instruction

English

ID,URL

J-Global ID
200901086255237926

researchmap URL

https://researchmap.jp/read0042717

Last Updated :2025/05/01

Research

Research Topics, Overview of the research

Research Topics
Automorphic representation, Endoscopy

Research Interests

跡公式

保型表現

Research Areas

Natural sciences, Algebra

Papers

On the Kohnen plus space for Hilbert modular forms of half-integral weight I
Kaoru Hiraga; Tamotsu Ikeda
Compositio Mathematica, 2013, Peer-reviewed

ON THE KOTTWITZ-SHELSTAD NORMALIZATION OF TRANSFER FACTORS FOR AUTOMORPHIC INDUCTION FOR GL(n)
Kaoru Hiraga; Atsushi Ichino
NAGOYA MATHEMATICAL JOURNAL, Dec. 2012, Peer-reviewed

On L-packets for inner forms of SL n
Kaoru Hiraga; Hiroshi Saito
Memoirs of the American Mathematical Society, 2012, Peer-reviewed

Formal degrees and adjoint gamma-factors
Kaoru Hiraga; Atsushi Ichino; Tamotsu Ikeda
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, Peer-reviewed

On functoriality of Zelevinski involutions
K Hiraga
COMPOSITIO MATHEMATICA, Nov. 2004, Peer-reviewed

Misc.

On the multiplicities of the discrete series of semisimple Lie groups
Duke Mathematical Journal, 1996

Presentations

Endoscopy for covering groups of anisotropic inner forms of GL(2)
Hiraga, Kaoru
Automorphic forms and Number theory, 11 Jan. 2023, Invited

On endoscopy for n-fold covering group of SL(2)
Hiraga, Kaoru
Representation theory of reductive Lie groups and algebras, 29 Mar. 2019, Invited

On packets for inner forms of SL(N)
HIRAGA Kaoru
Workshop on Representation Theory & Automorphic Forms, 28 Jan. 2015, Invited

On packets for inner forms of SL(N).
HIRAGA Kaoru
2014 Pan Asian Number Theory, 06 Aug. 2014, Invited

On endoscopy for covering groups of SL(2).
HIRAGA Kaoru
2012 Conference on L-functions, 23 Aug. 2012, Invited

External funds: Kakenhi

簡約代数群とその被覆群のエンドスコピーの研究
Grant-in-Aid for Scientific Research (C)
Basic Section 11010:Algebra-related
Kyoto University
平賀郁
From 01 Apr. 2020, To 31 Mar. 2024, Granted
エンドスコピー;簡約代数群の被覆群;簡約代数群
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03534/

Theory of endoscopy for an automorphic representation of a covering group
Grant-in-Aid for Challenging Exploratory Research
Kyoto University
Tamotsu Ikeda
From 01 Apr. 2014, To 31 Mar. 2017, Project Closed
保型表現;保型形式;被覆群;保形表現;Kohnen プラス空間;Gross-Keating 不変量
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26610005/

On endoscopies and Langlands correspondences for reductive groups and its covering groups.
Grant-in-Aid for Scientific Research (C)
Kyoto University
Kaoru Hiraga
From 01 Apr. 2014, To 31 Mar. 2018, Project Closed
簡約代数群の被覆群の表現
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26400010/

Study of local Langlands conjecture and harmonic analysis
Grant-in-Aid for Scientific Research (C)
Kyoto University
Kaoru HIRAGA
From 01 Apr. 2010, To 31 Mar. 2014, Project Closed
エンドスコピー;局所ラングランズ予想;簡約群の表現
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540018/

Research on the derivative of L-functions and automorphic forms
Grant-in-Aid for Scientific Research (C)
Kyoto University
Hiroyuki YOSHIDA
From 01 Apr. 2009, To 31 Mar. 2012, Project Closed
志村-谷山予想;cohomology群;L函数の特殊値;セルバーグのゼータ函数;例外的零点;非合同部分群;ヒルベルトモジュラー形式;群cohomology;保型形式;周期
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540014/

Research on automorphic representation
Grant-in-Aid for Scientific Research (B)
Kyoto University
Tamotsu IKEDA
From 01 Apr. 2009, To 31 Mar. 2015, Project Closed
保型形式;保型表現;保型的L関数;保型形式の周期;ヒルベルト保型形式;ジーゲル保型形式;調和解析
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21340007/

保型形式の明示的周期公式と調和解析
Grant-in-Aid for Challenging Exploratory Research
Kyoto University
池田保
From 01 Apr. 2008, To 31 Mar. 2011, Project Closed
保型形式;調和解析
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20654003/

Representation theoretic and arithmetic study of periods of automorphic forms
Grant-in-Aid for Scientific Research (C)
Kyushu University
Takuya KONNO
From 01 Apr. 2006, To 31 Mar. 2009, Project Closed
整数論;保型形式;周期;Gross-Prasad予想;局所テータ対応;endoscopy;ユニタリ群;テータ対応;L関数;内視論;保型周期;L不可分性;L函数;志村多様体
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18540037/

Study of the local Langlands conjecture and the trace formula
Grant-in-Aid for Scientific Research (C)
Kyoto University
Kaoru HIRAGA
From 01 Apr. 2006, To 31 Mar. 2010, Project Closed
局所ラングランズ予想;エンドスコピー;パケット;A-packet;L-packet;discrete series;formal degree;L-関数
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18540028/

On L-packets of reductive algebraic groups
Grant-in-Aid for Scientific Research (B)
Kyoto University
Hiroshi SAITO
From 01 Apr. 2006, To 31 Mar. 2010, Project Closed
数論;保型表現;エルパケット;アーサーパケット;許容表現;表現の制限則;テータ対応;グロスプラサド予想;跡公式;S群;表現の制限;エンドスコピー;特殊ユニタリ群;形式的次数;エルパラメータ;エス群;シーソー原理
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340006/

Automorphic representations and L-functions
Grant-in-Aid for Scientific Research (B)
Kyoto University
Tamotsu IKEDA
From 01 Apr. 2005, To 31 Mar. 2009, Project Closed
保型表現;L関数;保型形式;保型的L関数
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17340004/

Research on periods, L-functions and automorphic forms
Grant-in-Aid for Scientific Research (B)
Kyoto University
Hiroyuki YOSHIDA
From 01 Apr. 2004, To 31 Mar. 2008, Project Closed
周期;保型形式;L函数;モチーフ;志村・谷山予想;Absolute CM-period;L函数の特殊値;Gross-Prasad予想, Period;Automorphic form;L-function
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340006/

Non-commutative I wa sawa theory
Grant-in-Aid for Scientific Research (B)
Kyoto University
Kazuya KATO
From 01 Apr. 2004, To 31 Mar. 2008, Project Closed
非可換岩澤理論;岩澤理論;岩澤代数;K_1群;P進ゼータ関数;Hudge構造;regulator;ガロワ群;Hodge構造;退化;P進Hodge構造;ゼータ関数;regnlator;height pairing;非可損岩澤理論;総実代数体;保型形式;主予想;アーベル多様体;セルマー群;ルート数;ガロワ拡大;楕円曲線;$p$進ゼータ関数;普遍ノルム;単数基準;非可換;P進;L関数;K_1, Non-commutafice Iwasawa theroy;Iwasawa theroy;Iwasawa algebra;K_1-group;P-adic veta function;Hodge structure;reglator;Galois group
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340005/

Automorphic forms and representations of p-adic groups
Grant-in-Aid for Scientific Research (B)
Graduate School of Science, Kyoto University
Hiroshi SAITO
From 01 Apr. 2002, To 31 Mar. 2006, Project Closed
表現の制限;プレイジアス予想;特殊線型群;内部形式;エルパケット;重複度公式;保型誘導;トランスファー因子;アーサーパケット;ユニタリ群;安定跡公式;特殊値;宮脇予想;特殊ユニタリ群;誘導表現;グロス-プラサド予想;テータ対応;L-packet(エルパケット);Arthur packet(アーサーパケット);CAP表現(キャップ表現);Delinge予想(ドリーニュ予想);Langlands packet(ラングランズパケット);transfer factor(トランスファー因子);跡公式;エンドスコピー;ユニポテント表現;Gross-Prasad予想(グロスープラサド予想), restriction of representation;Blasius conjecture;special linear group;inner form;L-packet;multiplicity formula;automorphic induction;transfer factor
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340011/

エンドスコピーとユニポテント軌道積分の研究
Grant-in-Aid for Exploratory Research
Kyoto University
斎藤裕
From 01 Apr. 2001, To 31 Mar. 2004, Project Closed
巾単軌道積分;L-packet(エルパケット);Arthur packet(アーサーパケット);transfer factor(トランスファー因子);inner form(内部形式);tempered表現;特殊線形群;エンドスコピー;Langlands packet(ラングランズパケット);跡公式;対称多様体;ユニポテント表現;Zelevinski(ゼレヴィンスキ)対台;巾零軌道積分;概均質ベクトル空間;ゼータ関数;Assemの予想;Plancherelの公式;Koecher-Maass級数;Yoshida lifting;分岐則
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13874002/

Research on special values and zeros of L-funcions and on automorphic forms
Grant-in-Aid for Scientific Research (B)
Kyoto University
Hiroyuki YOSHIDA
From 01 Apr. 2001, To 31 Mar. 2004, Project Closed
CM-period;保型形式;L函数;零点;周期;モティーフ, CM-period;Automorphic form;L-function;zeros of L-functions
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440007/

保型表現・跡公式
Grant-in-Aid for Encouragement of Young Scientists (A)
Kyoto University
平賀郁
From 01 Apr. 1997, To 31 Mar. 1999, Project Closed
保型表現;許容表現;跡公式;簡約可能代数群;エンドスコピー
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09740018/

Research on automorphic representations
Grant-in-Aid for Scientific Research (A)
KYOTO UNIVERSITY
Hiroyuki YOSHIDA
From 01 Apr. 1994, To 31 Mar. 1997, Project Closed
L函数;Lie群;アーベル多様体の周期;semisimple Lie群;保型形式;周期;保型表現;モジュラー形式, L-function;Lie group;period of an abelian variety
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06402001/

Last Updated :2025/05/01

Education

Teaching subject(s)

From 01 Apr. 2024, To 31 Mar. 2025
Graduate Lecture in Number Theory
0401, Spring, Graduate School of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Calculus with Exercises A
N149, Spring, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2024, To 31 Mar. 2025
Theory of Number
4129, Spring, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Foundations of Modern Mathematics A
1023, Spring, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Number Theory B
0513, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Number Theory A
0512, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Number Theory D
0515, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Number Theory C
0514, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Basic Mathematics B
N123, Fall, Institute for Liberal Arts and Sciences, 4

From 01 Apr. 2023, To 31 Mar. 2024
Foundations of Modern Mathematics A
1023, Spring, Faculty of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Number Theory C
0514, Spring, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Number Theory D
0515, Fall, Graduate School of Science, 3

From 01 Apr. 2023, To 31 Mar. 2024
Linear Algebra with Exercises B
N152, Fall, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2023, To 31 Mar. 2024
Linear Algebra with Exercises A
N151, Spring, Institute for Liberal Arts and Sciences, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Number Theory A
0512, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Foundations of Modern Mathematics A
1023, Spring, Faculty of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Number Theory B
0513, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Number Theory a
0414, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Quest for Mathematics I
N172, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Number Theory b
0415, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Number Theory c
0416, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Number Theory d
0417, Fall, Graduate School of Science, 3

From Apr. 2011, To Mar. 2012
Linear Algebra A
Spring, 全学共通科目

From Apr. 2011, To Mar. 2012
Linear Algebra B
Fall, 全学共通科目

From Apr. 2011, To Mar. 2012
Advanced Calculus B
Fall, 全学共通科目

From Apr. 2011, To Mar. 2012
Calculus B
Spring, 全学共通科目

From Apr. 2011, To Mar. 2012
基礎数学からの展開A
Spring, 理学部

From Apr. 2012, To Mar. 2013
Advanced Algebra II
Spring, 理学部

From Apr. 2012, To Mar. 2013
Calculus B
Spring, 全学共通科目

From Apr. 2012, To Mar. 2013
Advanced Calculus A
Fall, 全学共通科目

From Apr. 2012, To Mar. 2013
Advanced Calculus B
Fall, 全学共通科目

From Apr. 2013, To Mar. 2014
Calculus A
Spring, 全学共通科目

From Apr. 2013, To Mar. 2014
Calculus B
Fall, 全学共通科目

From Apr. 2014, To Mar. 2015
Mathematics seminary
Year-long, 理学部

From Apr. 2014, To Mar. 2015
Seminar on Number Theory A
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Number Theory B
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Number Theory C
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Number Theory D
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Algebra A
Spring, 理学研究科

From Apr. 2014, To Mar. 2015
Seminar on Algebra B
Fall, 理学研究科

From Apr. 2014, To Mar. 2015
Calculus A
Spring, 全学共通科目

From Apr. 2014, To Mar. 2015
Advanced Calculus I - Vector Calculus
Spring, 全学共通科目

From Apr. 2014, To Mar. 2015
Advanced Calculus I - Vector Calculus
Fall, 全学共通科目

From Apr. 2015, To Mar. 2016
Introduction to Algebra
Fall, 理学部

From Apr. 2015, To Mar. 2016
Topics in Algebra C
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Advanced Calculus II - Differential Equations
Fall, 全学共通科目

From Apr. 2015, To Mar. 2016
Calculus with Exercises A
Spring, 全学共通科目

From Apr. 2015, To Mar. 2016
Calculus with Exercises B
Fall, 全学共通科目

From Apr. 2015, To Mar. 2016
Seminar on Algebra C
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Algebra D
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Number Theory A
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Number Theory B
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Number Theory C
Spring, 理学研究科

From Apr. 2015, To Mar. 2016
Seminar on Number Theory D
Fall, 理学研究科

From Apr. 2015, To Mar. 2016
Linear Algebra with Exercises A
Spring, 全学共通科目

From Apr. 2015, To Mar. 2016
Linear Algebra with Exercises B
Fall, 全学共通科目

From Apr. 2016, To Mar. 2017
Algebra II
Fall, 理学部

From Apr. 2016, To Mar. 2017
Seminar on Algebra A
Spring, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Algebra B
Fall, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Number Theory A
Spring, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Number Theory B
Fall, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Number Theory C
Spring, 理学研究科

From Apr. 2016, To Mar. 2017
Seminar on Number Theory D
Fall, 理学研究科

From Apr. 2016, To Mar. 2017
Linear Algebra with Exercises A
Spring, 全学共通科目

From Apr. 2017, To Mar. 2018
Exercises in Algebra II
Fall, 理学部

From Apr. 2017, To Mar. 2018
Advanced Calculus II - Differential Equations
Fall, 全学共通科目

From Apr. 2017, To Mar. 2018
Seminar on Number Theory A
Spring, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Number Theory B
Fall, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Number Theory C
Spring, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Number Theory D
Fall, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Algebra C
Spring, 理学研究科

From Apr. 2017, To Mar. 2018
Seminar on Algebra D
Fall, 理学研究科

From Apr. 2017, To Mar. 2018
Advanced Linear Algebra
Spring, 全学共通科目

From Apr. 2017, To Mar. 2018
Linear Algebra with Exercises A
Spring, 全学共通科目

From Apr. 2018, To Mar. 2019
Calculus with Exercises A
Spring, 全学共通科目

From Apr. 2018, To Mar. 2019
Seminar on Number Theory a
Spring, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Number Theory b
Fall, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Number Theory c
Spring, 理学研究科

From Apr. 2018, To Mar. 2019
Seminar on Number Theory d
Fall, 理学研究科

From Apr. 2018, To Mar. 2019
Quest for Mathematics II
Fall, 全学共通科目

From Apr. 2018, To Mar. 2019
Mathematics seminary
Year-long, 理学部

From Apr. 2018, To Mar. 2019
Theory of Number
Spring, 理学部

From Apr. 2018, To Mar. 2019
Graduate Lecture in Number Theory
Spring, 理学研究科

From Apr. 2019, To Mar. 2020
Calculus with Exercises A
Spring, 全学共通科目

From Apr. 2019, To Mar. 2020
Seminar on Number Theory a
Spring, 理学研究科

From Apr. 2019, To Mar. 2020
Seminar on Number Theory b
Fall, 理学研究科

From Apr. 2019, To Mar. 2020
Seminar on Number Theory c
Spring, 理学研究科

From Apr. 2019, To Mar. 2020
Seminar on Number Theory d
Fall, 理学研究科

From Apr. 2019, To Mar. 2020
Quest for Mathematics II
Fall, 全学共通科目

From Apr. 2019, To Mar. 2020
Theory of Number
Spring, 理学部

From Apr. 2019, To Mar. 2020
Graduate Lecture in Number Theory
Spring, 理学研究科

From Apr. 2019, To Mar. 2020
Linear Algebra with Exercises A
Spring, 全学共通科目

From Apr. 2019, To Mar. 2020
Linear Algebra with Exercises B
Fall, 全学共通科目

From Apr. 2020, To Mar. 2021
Calculus with Exercises A
Spring, 全学共通科目

From Apr. 2020, To Mar. 2021
Calculus with Exercises B
Fall, 全学共通科目

From Apr. 2020, To Mar. 2021
Seminar on Number Theory a
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Number Theory b
Fall, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Number Theory c
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Number Theory d
Fall, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Algebra a
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Algebra b
Fall, 理学研究科

From Apr. 2020, To Mar. 2021
Special study course (Mathematical Science)
Year-long, 理学部

From Apr. 2021, To Mar. 2022
Seminar on Number Theory a
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Number Theory b
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Number Theory c
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Number Theory d
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Algebra c
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Algebra d
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Quest for Mathematics I
Fall, 全学共通科目

From Apr. 2021, To Mar. 2022
Foundations of Modern Mathematics A
Spring, 理学部

Last Updated :2025/05/01

Administration

Faculty management (title, position)

From 01 Apr. 2019, To 31 Mar. 2020
理学研究科SACRA国際戦略部門委員会委員

From 01 Apr. 2020, To 31 Mar. 2021
理学研究科SACRA国際戦略部門委員会委員

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Hiraga, Kaoru

Basic Information

Faculty

Academic Degree

Language of Instruction

ID,URL

J-Global ID

researchmap URL

Research

Research Topics, Overview of the research

Research Topics

Research Interests

Research Areas

Papers

Misc.

Presentations

External funds: Kakenhi

Education

Teaching subject(s)

Administration

Faculty management (title, position)