MINAMI Norihiko

写真a

Affiliation Department

Department of Fundamental Study
Department of Computer Science

Title

Professor

External Link

Degree

  • 理学修士 ( 京都大学 )

  • Master of Science

Research Areas

  • Natural Science / Geometry

From School

  • Kyoto University   Faculty of Science   Graduated

    - 1981.03

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    Country:Japan

From Graduate School

  • Kyoto University   Graduate School, Division of Natural Science   Master's Course   Completed

    - 1983.03

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    Country:Japan

External Career

  • University of Alabama(U.S.A.)

    1994.04 - 1998.03

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    Country:United States

  • University of Alabama (U.S.A.)   Associate Professor (as old post name)

    1991.04 - 1994.03

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    Country:United States

  • Mathmatical Sciences Research Institute, Berkeley

    1989.04 - 1990.03

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    Country:United States

  • Massachusettes University (U.S.A.)   Lecturer

    1988.04 - 1991.03

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    Country:United States

  • Faculty of Science, Hiroshima University   Research Assistant

    1983.04 - 1988.03

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    Country:Japan

Professional Memberships

  • 「数学通信」非常任編集委員

    2012.03 - 2013.03

  • 「数学通信」常任編集委員

    2011.03 - 2012.03

  • Editorial Board, Algebraic & Geometric Topology

    2009.10

  • 日本数学会 情報システム運用委員会ビデオ撮影実行委員

    2009.09

  • American Mathematical Society

    1985.09

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Research Career

  • 代数幾何における階層構造の研究

    (not selected)  

    Project Year: 2017

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    rationalityとruledness,或いはこれらに関連した階層構造の存在,非存在のための条件調べる.存在のためには,双有理代数幾何の森理論的手法を援用し,非存在のためには,unramified cohomology およびモチビックホモトピー論の手法を援用する.

  • モチビックホモトピー圏のthick subcategoryの探究

    (not selected)  

    Project Year: 2016

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    Morel-Voevodskyにより,古典的ホモトピー論は,(少なくとも定義体が複素数体の部分体の場合には)代数幾何のホモトピー論である,モチビックホモトピー論の一部となり,古典的ホモトピー論の困難な問題がモチビックホモトピー論での考察により得られるようになった.

    その一方で,古典的ホモトピー論の重要な大域的結果として,Hopkins-Smithによる安定ホモトピー圏のコンパクト対象からなる部分三角圏のthick subcategoryの分類が有る.ところが,モチビックホモトピー論で同様の問題は,その重要性にも拘らず,完全解決には程遠い.

    本研究では,この困難な問題に一歩一歩地道に挑戦して行く.

    安定ホモトピー圏の重要な大域的定理である

  • 絶対数学とホモトピー論の関係

    (not selected)  

    Project Year: 2009.03

  • 導来代数幾何とその応用

    (not selected)  

    Project Year: 2007.04

  • Global problems, on the stable homotopy category,Especially,Hopkins'chromatic splitting conjecture

    (not selected)  

    Project Year:

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Papers

  • Retract (-$\mathit{i}$) rationality and its necessary conditions expressed by unramified presheaves : Noether's problem of a finite group $G$ as an example (Algebraic Number Theory and Related Topics)---

    Norihiko Minami

    RIMS Kôkyûroku   2225 ( 8 )   1 - 14   2022.07

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (conference, symposium, etc.)  

    Other Link: https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2225-08.pdf

  • On the nonexistence of the hierachy structure: lower rationality = higher ruledness, and very general hypersurfaces as examples Invited

    南 範彦

    数理解析研究所講究録   2199   9   2021.09

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:京都大学数理解析研究所  

    Other Link: https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2199-09.pdf

  • From Ohkawa to strong generation via approximable triangulated categories - a variation on the theme of Amnon Neeman's Nagoya lecture series Invited Reviewed

    Norihiko Minami

    Springer Proceedings in mathematics and statistics   309   17 - 88   2020

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:Springer  

    arXiv

  • Higher uniruledness, Bott towers and "Higher Fano Manifolds" Invited

    南 範彦

    数理解析研究所講究録   2135   141 - 155   2019.11

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    Language:English   Publishing type:Research paper (bulletin of university, research institution)   Publisher:京都大学数理解析研究所  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2135-20.pdf

  • On higher Fano varieties - a summary Invited

    南 範彦

    数理解析講究録   2098   2018.12

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:京都大学数理解析研究所  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2098.html

  • A handy chart to navigate a small part of Ayoub's Thesis on Grothendieck's six operations in the motivic stable homotopy categories Invited

    南 範彦

    京都大学数理解析研究所講究録   2016   8 - 131   2017.01

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    Authorship:Lead author   Language:English   Publishing type:Research paper (bulletin of university, research institution)   Publisher:京都大学数理解析研究所  

    A handy chart to navigate a small part of Ayoub's Thesis on Grothendieck's six operations in the motivic stable homotopy categories

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/kokyuroku.html

  • Some mathematical aspects of topological materials Invited

    Norihiko Minami

    RIMS Kôkyûroku   1968   35 - 40   2015.11

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Research Institute for Mathematical Sciences, Kyoto University  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1968-06.pdf

  • The New Doomsday Conjecture in the Motivic Homotopy Theory Invited

    Norihiko Minami

    RIMS Kôkyûroku   1876   48 - 69   2014.01

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/kokyuroku.html

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1876-09.pdf

  • On the random variable $\{ 1, 2, \ldots, n \}^r \ni (k_1, k_2, \ldots, k_r) \mapsto \gcd(n,k_1k_2\cdots k_r) \in \N$ Reviewed

    Norihiko Minami

    Journal of Number Theory   133 ( 8 )   2635 - 2647   2013.08

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jnt.2013.01.012

    Other Link: http://www.sciencedirect.com/science/journal/0022314X

  • A topologist's introduction to the motivic homotopy theory for transformation group heorists - 1 Reviewed

    Norihiko Minami

    RIMS K^oky^uroku Bessatsu   B39   063 - 107   2013.03

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

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Books and Other Publications

Misc

  • 「ホモとピー論」研究者にとっての「絶対数学」

    南範彦

    2009.10

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (other)   Publisher:日本評論社  

  • 『超対称性ゲージ理論と幾何学』 数セミブック・プラザ

    南範彦

    2008.08

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:日本評論社  

  • ホモトピー論・単体的集合から,その彼方へ

    南範彦

    2008.03

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:サイエンス社  

Presentations

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Committee Memberships

  • Editorial Board, Algebraic & Geometric Topology   editor  

    2009   

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    Committee type:Academic society

    http://msp.org/agt/about/journal/editorial.html

  • 日本数学会   情報システム運用委員会ビデオ撮影実行委員  

    2009.09   

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    Committee type:Academic society

  • 日本数学会   評議員  

    2011.03 - 2012.02   

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    Committee type:Academic society

  • 日本数学会   「数学通信」常任編集委員  

    2011.03 - 2012.02   

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    Committee type:Academic society