Researcher Database

Hiroshi Yamashita
Faculty of Science Mathematics Mathematics
Professor

Researcher Profile and Settings

Affiliation

  • Faculty of Science Mathematics Mathematics

Job Title

  • Professor

Degree

  • Doctor of Science(Kyoto University)

J-Global ID

Research Areas

  • Natural sciences / Basic analysis
  • Natural sciences / Algebra

Academic & Professional Experience

  • 2006/04 - Today Hokkaido University Faculty of Science, Department of Mathematics
  • 2014/04 - 2017/03 Hokkaido University
  • 2012/04 - 2014/03 Hokkaido University
  • 2005/10 - 2006/03 The University of Tokyo Graduate School of Mathematical Sciences
  • 2002/04 - 2006/03 北海道大学大学院理学研究科数学専攻代数構造学講座 教授
  • 1995/04 - 2002/03 北海道大学大学院理学研究科数学専攻空間構造学講座 助教授
  • 1998/03 - 1998/04 Louis Pasteur University Invited Professor
  • 1995/04 - 1996/03 Hokkaido University
  • 1988/10 - 1995/03 Kyoto University Faculty of Science
  • 1990/01 - 1992/01 パリ第7大学 日本学術振興会海外特別研究員
  • 1987/04 - 1988/10 Kyoto University Faculty of Science

Association Memberships

  • Seiwa Scholars Society   THE MATHEMATICAL SOCIETY OF JAPAN   

Research Activities

Published Papers

  • 単純リー群の特異ユニタリ表現の幾何学的実現と随伴サイクル
    山下 博
    数理解析研究所講究録「表現論と非可換調和解析の展望」 1825 142 - 152 2013/02 [Not refereed][Invited]

Books etc

Conference Activities & Talks

  • On realization of singular quaternionic representations  [Not invited]
    Hiroshi Yamashita
    2013 workshop on representation theory  2013/09  Kyoto University
  • Quantization of quaternionic nilpotent $K$-orbits  [Not invited]
    Hiroshi Yamashita, Fuhai Zhu
    MSJ 2012 autumn meeting  2012/09  Fukuoka  Kyushu University
  • On quantization of singular orbits on certain irreducible regular prehomogeneous vector spaces  [Not invited]
    Hiroshi Yamashita
    Seminar on Representation Theory, Hokkaido University  2012/07
  • Quaternionic nilpotent $K$-orbits and their quantization  [Invited]
    Hiroshi Yamashita
    Summer School and Workshop on Representation Theory and Harmonic Analysis June  2012/06  Nankai University, Tianjin, China  Chern Institute of Mathematics, Nankai University
  • Associated cycles and geometric realization of singular unitary representations of simple Lie groups  [Invited]
    Hiroshi Yamashita
    RIMS conference “Perspectives of Representation Theory and Noncommutative Harmonic Analysis”  2012/06  Kyoto  RIMS, Kyoto University
  • Isotropy representations and Fock models for singular unitary highest weight modules  [Not invited]
    Hiroshi Yamashita
    MSJ 2012 annual meeting  2012/03  Tokyo  Tokyo University of Science
  • Irreducible decomposition of tensor products of Wallach representations and isotropy representations for singular unitary highest weight modules  [Not invited]
    Hiroshi Yamashita
    2011 Workshop on Representation Theory  2011/12  Tottori  鳥取県立生涯学習センター
  • 北大が高校生に求める数学力  [Invited]
    Hiroshi Yamashita
    第3回高大連携研究会,北海道大学高等教育推進機構  2011/10
  • Tensor products of Wallach representations and isotropy representations for singular unitary highest weight modules  [Not invited]
    Hiroshi Yamashita
    Seminar on Representation Theory, Hokkaido University  2011/07
  • Isotropy representations and an extension of the theta-correspondence  [Invited]
    Hiroshi Yamashita
    2011 Nankai international workshop on representationtheory and harmonic analysis  2011/06  Chern Institute of Mathematics, Nankai University
  • Isotropy representation associated with the discrete series  [Invited]
    Hiroshi Yamashita
    2010 Nankai international conference and summer school on representation theory and harmonic analysis  2010/06  Tianjin, China  Chern Institute of Mathematics, Nankai University
  • Generalized Whittaker models for Harish-Chandra modules  [Invited]
    Hiroshi Yamashita
    2009 Nankai summer school on representation theory and harmonic analysis  2009/06  Tianjin, China  Chern Institute of Mathematics, Nankai University
  • 簡約リー群の無限次元既約表現に対する幾何学的不変量,モデル,双対性をめぐって  [Invited]
    Hiroshi Yamashita
    数学連携研究センター「数学連携サロン」  2009/03  北海道大学数学連携研究センター
  • ユニタリ最高ウェイト加群に付随する等方表現とハウ双対性定理の別証明  [Not invited]
    山下博, 阿部紀行
    MSJ 2008 annual meeting  2008/03  東大阪  Kinki University
  • 半単純リー群の離散系列表現に付随する等方表現,II  [Not invited]
    Hiroshi Yamashita
    MSJ 2008 annual meeting  2008/03  近畿大学  Kinki University
  • Geometric invariants associated with the discrete series representations  [Invited]
    Hiroshi Yamashita
    NCTS Winter Workshop on Representation Theory  2008/01  Hsinchu, Taiwan  National Tsing-Hua University, Hsinchu, Taiwan
  • Isotropy representations and Howe duality correspondence  [Invited]
    Hiroshi Yamashita
    Conference on Infinite-Dimensional Harmonic Analysis  2007/09  Tokyo  University of Tokyo
  • Isotropy representations and theta correspondence  [Not invited]
    Hiroshi Yamashita
    Sapporo Lectures on Representations in Lie Theory  2007/08  Sapporo  Hokkaido University
  • Nilpotent orbits and associated cycles for unitary highest weight representations  [Invited]
    Hiroshi Yamashita, Kyo Nishiyama
    2007 Nankai Summer School, Representation Theory and Harmonic analysis  2007/06  Tianjin, China  Chern Institute of Mathematics, Nankai University
  • 離散系列に対する等方表現−勾配型不変微分作用素とモーメント写像−  [Not invited]
    Hiroshi Yamashita
    Workshop "Automorphic forms and differential equations"  2006/07  東京大学玉原国際セミナーハウス  Tanbara seminar house, University of Tokyo
  • Isotropy representations and Howe duality correspondence:Kashiwara-Vergne revisited  [Not invited]
    Hiroshi Yamashita
    Mini-workshop on prehomogeneous vector spaces  2006/03  Tsukuba University  Tsukuba University
  • 簡約リー群の表現と冪零軌道  [Invited]
    Hiroshi Yamashita
    集中講義  2005/12  Graduate School of Mathematical Science, University of Tokyo
  • リー代数の対称対に付随したリチャードソン軌道  [Not invited]
    Hiroshi Yamashita, Keiji Sakata
    MSJ 2005 annual meeting  2005/03  Tokyo  Chuo University
  • 半単純リー群の離散系列表現に付随した等方表現  [Not invited]
    Hiroshi Yamashita
    MSJ 2005 annual meeting  2005/03  東京  Chuo University
  • Moment map and isotropy representation  [Not invited]
    Hiroshi Yamashita
    Conference on nilpotent orbits and representation theory  2004/09  山梨  Yamanashi
  • Isotropy representation associated with the discrete series  [Not invited]
    Hiroshi Yamashita
    RIMS workshop "Automorphic forms on $Sp(2, \mathbb{R})$ and $SU(2,2)$, III"  2004/09  Kyoto  RIMS, Kyoto University
  • Isotropy representations for Harish-Chandra modules with irreducible associated varieties  [Invited]
    Hiroshi Yamashita
    International symposium on representation theory and harmonic analysis  2004/08  Urumqi, China  Urumqi, China
  • EVII 型実単純リー代数のユニタリ最高ウェイト加群に 対する等方表現とコンパクト対称空間上の調和解析  [Not invited]
    Hiroshi Yamashita, Akihito Wachi
    MSJ 2003 autumn meeting  2003/09  Chiba  Chiba University
  • Isotropy representations for unitary highest weight modules and harmonic analysis on certain compact symmetric spaces  [Invited]
    Hiroshi Yamashita
    German-Japanese symposium on Infinite dimensional harmonic analysis  2003/09  Tuebingen  University of Tuebingen
  • EVIIの例でみる等方表現とHowe対応の拡張  [Not invited]
    Hiroshi Yamashita
    2003 Nilpotent orbits and representation theory  2003/02  Sapporo  Hokkaido University
  • 無限次元表現とその冪零不変量−不変微分作用素をとおして  [Invited]
    Hiroshi Yamashita
    Colloquium, Department of Mathematics, Hokkaido University  2002/12  Sapporo
  • Isotropy representations for singular unitary highest weight modules  [Invited]
    Hiroshi Yamashita
    Representation Theory of Lie Groups  2002/08  Singapore  IMS, National University of Singapore
  • Isotropy representation and projection to the PRV-Component  [Invited]
    Hiroshi Yamashita
    RIMS conference"(Representations of noncomutative algebraic systems and harmonic analysis"  2002/07  Kyoto  RIMS, Kyoto University
  • Harish-Chandra modules and isotropy representations  [Invited]
    Hiroshi Yamashita
    MSJ 2002 annual meeting (Special lecture, Algebra session)  2002/03  Tokyo  Meiji University
  • Isotropy representation attached to Harish-Chandra module with irreducible associated variety  [Not invited]
    Hiroshi Yamashita
    International conference on Representation Theory of Lie Groups  2002/02  Kyoto  RIMS, Kyoto University
  • 行列の魅力 -- 群の作用と表現  [Invited]
    Hiroshi Yamashita
    平成12年度高校生のための数学春季講座  2001/03  Sapporo  Graduate School of Science, Hokkaido University
  • Harish-Chandra加群の随伴サイクルを定める固定表現と勾配型不変微分作用素の表象写像  [Not invited]
    Hiroshi Yamashita
    Workshop "Nilpotent orbits and representation theory 2001"  2001/02  福岡  Kyushu University
  • Harish-Chandra 加群の随伴サイクルに付随した固定表現  [Not invited]
    Hiroshi Yamashita
    2000 年度表現論ワークショップ  2001/01  Chiba  放送大学
  • Isotropy representations attached to the associated cycles of Harish-Chandra modules  [Not invited]
    山下 博
    数理解析研究所短期共同研究集会 「概均質ベクトル空間の研究」  2000/12  京都
  • Associated cycles of Harish-Chandra modules and differential operators of gradient type  [Invited]
    HIroshi Yamashita
    数理解析研究所共同研究集会 「群の環の表現論及び非可換調和解析」  2000/08  京都  RIMS, Kyoto University
  • On the $n$-cohomology of quaternionic discrete series  [Invited]
    Hiroshi Yamashita
    Workshop on Representation Theory and Invariant Theory  2000/03  National University of Singapore
  • On generalized Whittaker models for highest weight modules  [Invited]
    Hiroshi Yamashita
    Workshop on Representation Theory and Invariant Theory  2000/03  National University of Singapore
  • Differential operators of gradient type and multiplicities of Harish-Chandra modules  [Not invited]
    Hiroshi Yamashita
    Workshop on the geometry of nilpotent orbits and representation theory  2000/02  Kyoto  Kyoto University
  • Cayley Transform and generalized Whittaker models for unitary highest weight modules  [Not invited]
    Hiroshi Yamashita
    MSJ 1999 autumn meeting  1999/09  Hiroshima University
  • Two dual pair methods in the study of generalized Whittaker models for unitary highest weight modules  [Invited]
    Hiroshi Yamashita
    Japanese-German Symposium "Infinite dimensional harmonic Analysis"  1999/09  Kyoto  Kyoto University
  • $n$-homology and generalized Whittaker vectors for some small unitary representations of simple Lie groups  [Invited]
    Hiroshi Yamashita
    RIMS conference "Representations of groups and noncommutative harmonic analysis"  1999/08  KYoto  RIMS, Kyoto University
  • The 0th $n$-homology for the Borel-de Siebenthal discrete series representations of simple Lie groups  [Not invited]
    Hiroshi Yamashita
    MSJ 1999 annual meeting  1999/03  Tokyo  Gakushuin University
  • Borel-de Siebenthal 離散系列表現の埋め込み  [Not invited]
    Hiroshi Yamashita
    Nilpotent orbits and unipotent representations  1998/12  Sapporo  Hokkaido University
  • Associated variety, invariant differential operators, and torsion free $U(n)$-action on Harish-Chandra modules  [Invited]
    Hiroshi Yamashita
    1998/03  Universit'\{e} Paris 7, Paris
  • Associated variety, Kostant-Sekiguchi correspondence, and locally free $U(\n)$-action on Harish-Chandra modules  [Invited]
    Hiroshi Yamashita
    1998/03  IRMA, Universit\'{e} Louis Pasteur, Strasbourg
  • 直交群の極小表現と例外型群の特別ユニポテント表現  [Not invited]
    Hiroshi Yamashita
    Winter workshop on representation theory  1997/12  Sapporo  Hokkaido University
  • Associated variety and invariant differential operators : relation to the $U(n)$-action on Harish-Chandra modules  [Invited]
    Hiroshi Yamashita
    RIMS international workshop (Invariant differential operators, special functions and representation theory  1997/10  Kyoto  RIMS, Kyoto University
  • リーマン対称空間上の不変微分作業素とHarish-Chandra加群の模型  [Not invited]
    Hiroshi Yamashita
    Tottori symposium on representation theory  1997/01  Tottori  Tottori University
  • Associated variety, Kostant-Sekiguchi correspondence, and locally free $U(n)$ action on Harish-Chandra modules  [Invited]
    Hiroshi Yamashita
    RIMS conference "Representation theory of groups and homogeneous spaces"  1996/07  Kyoto  RIMS, Kyoto University
  • Associated variety, Kostant-Sekiguchi correspondence, and locally free $U(n)$-action on Harish-Chandra modules  [Not invited]
    Akihiko Gyoja, Hiroshi Yamashita
    MSJ 1996 annual meeting  1996/04  Niigata University
  • Hermite 対称空間上のGradient型微分作用素と既約最高ウェイト 表現の模型  [Invited]
    Hiroshi Yamashita
    大学院高度化推進経費による連続講義  1996/03  Kyoto  Graduate School of Science, Kyoto University
  • Differential operators of gradient-type and representations of semisimple Lie groups  [Invited]
    Hiroshi Yamashita
    Harmonische Analyse und Darstellungstheorie Topologischer Gruppen  1994/02  Mathematisches Forschungsinstitut Oberwolfach
  • Gradient型微分作用素, べき零共役類と半単純リー群の表現  [Invited]
    Hiroshi Yamashita
    1993年度表現論シンポジウム  1993/11  伊豆熱川ハイツ
  • 有限生成$U(g)$-加群の部分環への制限と随伴多様体: 半単純リー群のHarish-Chandra加群への応用  [Not invited]
    Hiroshi Yamashita
    MSJ 1992 autumn meeting  1992/10  Nagoya  Nagoya University
  • Associated varieties for the discrete series of a semisimple Lie group  [Invited]
    Hiroshi Yamashita
    数理解析研究所短期共同研究会 「指標をめぐる数学的手法」  1992/09  Kyoto  RIMS, Kyoto University
  • Harish-Chandra加群の部分リー環への制限と随伴多様体  [Invited]
    Hiroshi Yamashita
    数理解析研究所共同研究集会 「群の表現論及び等質空間上の解析」  1992/07  Kyoto  RIMS, Kyoto Univeristy
  • Associated varieties for Harish-Chandra modules and finite multiplicities in induced representations of semisimple Lie groups  [Invited]
    Hiroshi Yamashita
    The Danish Lie Group Seminar ``Harmonic Analysis on Lie Groups''  1991/09  Denmark  Sandbjerg Estate
  • Finitude des multiplicit\'{e}s d'un module d'Harish-Chandra dans les repr\'{e}sentations induites: \'{e}tude en relation avec la vari\'{e}t\'{e} caract\'{e}ristique  [Not invited]
    Hiroshi Yamashita
    Groupe de Travail ``M\'{e}thode G\'{e}om\'{e}trique en Th\'{e}orie des Repr\'{e}sentations''  1991/03  Universit\'{e} Paris 7, Paris
  • Finite multiplicity theorems for induced representations of semisimple Lie groups  [Invited]
    Hiroshi Yamashita
    Colloquium ``Harmonic Analysis on Lie Groups''  1990/10  University of G\"{o}ttingen, Germany
  • Highest weight vectors for the principal series and embeddings of highest weight modules  [Not invited]
    Hiroshi Yamashita
    1990/10  University of G\"{o}ttingen, Germany
  • Emdeddings of discrete series into induced representations of semisimple Lie groups  [Invited]
    Hiroshi Yamashita
    1990/05  IRMA, Universit\'{e} Louis Pasteur, Strasbourg
  • Embeddings of discrete series into induced representations of semisimple Lie groups  [Invited]
    Hiroshi Yamashita
    1989/07  Yale University, USA
  • 半単純リー群の一般化されたGelfand-Graev表現  [Invited]
    Hiroshi Yamashita
    MSJ 1988 annual meeting(Special lecture, Functional analysis session)  1988/03  Tokyo  Rikkyo University
  • 半単純リー群の離散系列表現の誘導表現への埋め込み  [Not invited]
    Hiroshi Yamashita
    1987 Symposium on Representation Theory  1987/10  Karuizawa
  • 半単純リー群の離散系列表現の誘導表現への埋め込み  [Not invited]
    Hiroshi Yamashita
    MSJ 1987 autumn meeting  1987/10  Kyoto  Kyoto University
  • 半単純リー群の既約highest weight表現の誘導表現への埋め込み  [Not invited]
    Hiroshi Yamashita
    MSJ 1986 autumn meeting  1986/09  Chiba  Chiba University
  • 半単純リー群の誘導表現に関する有限重複度定理とその応用  [Not invited]
    Hiroshi Yamashita
    MSJ 1986 annual meeting  1986/04  Kyoto  Kyoto University
  • 半単純リー群の誘導表現に関する有限重複度定理とその応用  [Not invited]
    Hiroshi Yamashita
    Workshop "Analysis on symmetric spaces and representations of Lie groups"  1986/01  Kyoto  Kyoto University
  • 半単純リー群のGelfand-Graev表現について  [Not invited]
    Hiroshi Yamashita
    代数学シンポジウム「代数群, リー環とその表現・ホップ代数とガロア理論」  1986/01  Toyonaka  Osaka University
  • Multiplicity freeなgeneralized Gelfand-Graev表現について  [Not invited]
    Hiroshi Yamashita
    MSJ 1985 autumn meeting  1985/10  Toyama  Toyama University
  • Highest weight vectors for generalized Gelfand-Graev representations of semisimple Lie groups  [Not invited]
    Hiroshi Yamashita
    RIMS workshop"Spherical distributions and expansion of $\delta$-distributions"  1985/09  Kyoto  RIMS, Kyoto University
  • Multiplicity free property for generalized Gelfand-Graev representations of semisimple Lie groups  [Not invited]
    Hiroshi Yamashita
    RIMS conference "Geometric realization of group representations"  1985/07  Kyoto  RIMS, Kyoto University
  • 半単純リー群のgeneralized Gelfand-Graev表現について  [Not invited]
    Hiroshi Yamashita
    1984年度表現論シンポジウム  1984/10  伊豆長岡
  • 複素半単純リー群のgeneralized Gelfand-Graev表現について  [Not invited]
    Hiroshi Yamashita
    MSJ 1984 autumn meeting  1984/10  Tokyo  University of Tokyo
  • 【国内会議等】  [Not invited]
  • 【国際会議等】  [Not invited]

Research Grants & Projects

  • 半単純リー群に対するべき零軌道理論の建設
    稲盛財団:研究助成金
    Date (from‐to) : 1989 -1989 
    Author : 山下博

Educational Activities

Teaching Experience

Campus Position History

  • 2013年4月1日 
    2014年3月31日 
    役員補佐
  • 2014年4月1日 
    2015年3月31日 
    総長補佐
  • 2015年4月1日 
    2017年3月31日 
    総長補佐

Position History

  • 2013年4月1日 
    2014年3月31日 
    役員補佐
  • 2014年4月1日 
    2015年3月31日 
    総長補佐
  • 2015年4月1日 
    2017年3月31日 
    総長補佐

Social Contribution

Social Contribution

Social Contribution

  • 大学入試に関する助言
    Date (from-to) : 2016/10/28-2016/10/28
    Role : Advisor
    Sponser, Organizer, Publisher  : 北海道算数数学教育会
    Event, Program, Title : 第71回研究大会高等学校部会第6分科会(函館中部高校)
  • 大学入試に関する助言
    Date (from-to) : 2012/10/26-2012/10/26
    Role : Advisor
    Sponser, Organizer, Publisher  : 北海道算数数学教育会
    Event, Program, Title : 第67回研究大会高等学校部会第6分科会(千歳高校)
  • 現代数学の巨大パズルを解く「アトラスプロジェクトの軌跡」(MIT David Vogan教授講演会)
    Date (from-to) : 2007/08/28-2007/08/28
    Role : Presenter
    Sponser, Organizer, Publisher  : 北海道大学(財団法人札幌国際プラザ共催)
    Event, Program, Title : 北海道大学数学公開講演会
  • 大学入試に関する助言
    Date (from-to) : 2003/10/16-2003/10/16
    Role : Advisor
    Sponser, Organizer, Publisher  : 北海道算数数学教育会
    Event, Program, Title : 第58回研究大会高等学校部会第6分科会(札幌真栄高校)

Media Coverage

  • 数学専門書シリーズ「数学の杜」編集者
    Date : 2011/09
    Publisher, broadcasting station: 数学書房
    Others

Others

  • 2009/03 -2009/03 国際研究集会"The 8th Workshop on Nilpotent Orbits and Representation Theory"(2009年3月,大津市)開催に組織委員として協力
  • 【研究集会の主催】


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