Bannai, Kenichi

写真a

Affiliation

Faculty of Science and Technology, Department of Mathematics (Yagami)

Position

Professor

Related Websites
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Career 【 Display / hide 】

  • 2001.04
    -
    2001.08

    JSPS Post Doctoral Fellow, 特別研究員・PD

  • 2001.09
    -
    2007.03

    Assistant Professor, Graduate School of Mathematics, Nagoya University, 多元数理科学研究科, 助手

  • 2005.04
    -
    2007.03

    JSPS Fellowship Abroad (ENS, Paris), 海外特別研究員（派遣先：パリ高等師範学校）

  • 2007.04
    -
    2008.03

    Nagoya University, Graduate School of Mathematics,, Assistant Professor

  • 2008.04
    -
    2012.03

    University of Keio, Department of Mathematics, Senior Assistant Professor

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Academic Background 【 Display / hide 】

  • 1995.03

    The University of Tokyo, Faculty of Science, Department of Mathematics

    University, Graduated

  • 1997.03

    The University of Tokyo, Graduate School, Division of Mathematical Sciences

    Graduate School, Completed, Master's course

  • 2000.03

    The University of Tokyo, Graduate School, Division of Mathematical Sciences

    Graduate School, Completed, Doctoral course

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Academic Degrees 【 Display / hide 】

  • 博士（数理科学）, 東京大学, Coursework, 2000.03

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Research Areas 【 Display / hide 】

  • Natural Science / Algebra

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Research Keywords 【 Display / hide 】

  • Arithmetic Geometry

  • Number Theory

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Research Themes 【 Display / hide 】

  • 代数多様体の数論幾何的予想の解決に向けた戦略的研究, 

    2009
    -
    2013

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Papers 【 Display / hide 】

  • p-adic polylogarithms and p-adic Hecke L-functions for totally real fields

    Bannai K., Hagihara K., Yamada K., Yamamoto S.

    Journal fur die Reine und Angewandte Mathematik (Journal fur die Reine und Angewandte Mathematik)  2022 ( 791 ) 53 - 87 2022.10

    ISSN  00754102

    　View Summary

    The purpose of this article is to newly define the p-adic polylogarithm as an equivariant class in the cohomology of a certain infinite disjoint union of algebraic tori associated to a totally real field. We will then express the special values of p-adic L-functions interpolating nonpositive values of Hecke L-functions of the totally real field in terms of special values of these p-adic polylogarithms.

  • Category of mixed plectic Hodge structures

    Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi, Kazuki Yamada, Shuji Yamamoto, and Seidai Yasuda

    Asian J. Math. (International Press)  24 ( no.1 ) 31 - 76 2020

    Research paper (scientific journal), Joint Work, Accepted

  • The Hodge realization of the polylogarithm on the product of multiplicative groups

    Bannai K., Hagihara K., Yamada K., Yamamoto S.

    Mathematische Zeitschrift (Mathematische Zeitschrift)   2020

    ISSN  00255874

    　View Summary

    © 2020, Springer-Verlag GmbH Germany, part of Springer Nature. The purpose of this article is to describe explicitly the polylogarithm class in absolute Hodge cohomology of a product of multiplicative groups, in terms of the Bloch–Wigner–Ramakrishnan polylogarithm functions. We will use the logarithmic Dolbeault complex defined by Burgos to calculate the corresponding absolute Hodge cohomology groups.

  • The radius of convergence of the p-adic sigma function

    BANNAI Kenichi, Shinichi Kobayashi and Seidai Yasuda

    Math. Z. 286   751 - 781 2016.10

    Research paper (scientific journal), Accepted

  • Integral structures on p-adic Fourier theory

    BANNAI Kenichi, KOBAYASHI Shinichi

    Annales de L'Institut Fourier 66   521 - 550 2016

    Research paper (scientific journal), Joint Work, Accepted

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Papers, etc., Registered in KOARA 【 Display / hide 】

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Presentations 【 Display / hide 】

  • Shintani Revisited

    Kenichi Bannai

    Boston University/Keio University Workshop 2019 (Boston) , 

    2019.06
    , 

    Boston University

  • On the p-adic polylogarithm function for totally real fields

    Kenichi Bannai

    p-adic Cohomology and Arithmetic Geometry 2019 (東北大学片平キャンパス) , 

    2019.11

  • 総実代数体に付随する代数トーラスの新谷生成類

    坂内健一

    RIMS研究集会（公開型）「代数的整数論とその周辺」 (京都大学数理解析研究所) , 

    2019.12

  • 総実代数体に付随する代数トーラスのポリログについて

    坂内健一

    談話会 (大阪大学) , 

    2019.12

  • 総実代数体のp進ポリログとp進L関数

    坂内健一

    整数論・保形型式セミナー (大阪大学) , 

    2019.12

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Research Projects of Competitive Funds, etc. 【 Display / hide 】

  • Strategic research to construct motivic units using new symmetry

    2018.06
    -
    2023.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Principal investigator

  • Eisenstein類を核とした数論幾何的予想の解決に向けた戦略的研究

    2014.04
    -
    2019.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A) , Principal investigator

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Courses Taught 【 Display / hide 】

  • MATHEMATICS 1B

    2024

  • MATHEMATICS 1A

    2024

  • INTRODUCTION TO INTERDISCIPLINARY SCIENCE AND TECHNOLOGY

    2024

  • INDEPENDENT STUDY ON FUNDAMENTAL SCIENCE AND TECHNOLOGY

    2024

  • GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 2

    2024

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