Updated on 2024/10/09

写真a

 
SATO Kanetomo
 
Organization
Faculty of Science and Engineering Professor
Other responsible organization
Mathematics Course of Graduate School of Science and Engineering, Master's Program
Mathematics Course of Graduate School of Science and Engineering, Doctoral Program
Contact information
The inquiry by e-mail is 《here》
Homepage
https://c-research.chuo-u.ac.jp/html/100003154_ja.html?k=%E4%BD%90%E8%97%A4%E5%91%A8%E5%8F%8B
External link

Degree

  • Ph.D (Mathematical Sciences) ( The University of Tokyo )

  • 修士(数理科学) ( 東京大学 )

Education

  • 1998.3
     

    The University of Tokyo   Graduate School of Mathematical Sciences   doctor course   completed

  • 1996.3
     

    The University of Tokyo   Graduate School of Mathematical Sciences   master course   completed

  • 1994.3
     

    The University of Tokyo   Faculty of Science   graduated

  • 1989.3
     

    愛知県私立滝高等学校   graduated

Research History

  • 2011.4 - Now

    Professor, Faculty of Science and Engineering, Chuo University

  • 2007.4 - 2011.3

    "Associate Professor, Graduate School of Mathematical Sciences, Nagoya University"   Graduate School of Mathematics

  • 2000.4 - 2007.3

    "Research Associate, Graduate School of Mathematical Sciences, Nagoya University"   Graduate School of Mathematics

  • 2003.10 - 2004.9

    Research Fellow supported by EPSRC (The University of Nottingham)

  • 2001.10 - 2003.9

    JSPS Postdoctoral Fellowship for Reseach Abroad

  • 1998.4 - 2000.3

    JSPS Reseach Fellowship for Young Scientists (PD)

  • 1996.4 - 1998.3

    JSPS Reseach Fellowship for Young Scientists (DC1)

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Professional Memberships

  • 日本数学会

Research Interests

  • Algebraic K-groups

  • Arithmetic Geometry

  • Number Theory

  • Algebraic Cycles

  • Cohomology

Research Areas

  • Natural Science / Algebra  / Arithmetic Geometry

  • Natural Science / Algebra  / 代数学

Papers

  • Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces Reviewed

    Kanetomo Sato

    Journal of Number Theory   227   JNT Prime 166 - 234   2021.10

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

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  • On p-adic vanishing cycles of log smooth families Reviewed

    Shuji SAITO, Kanetomo SATO

    Tunisian Journal of Mathematics   2   309 - 335   2020.1

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Mathematical Sciences Publishers  

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  • Étale duality for constructible sheaves on arithmetic schemes Reviewed

    Uwe JANNSEN, Shuji SAITO, Kanetomo SATO

    Journal für die Reine und angewandte Mathematik   688   1 - 65   2014.3

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：WALTER DE GRUYTER GMBH  

    In this note we relate the following three topics for arithmetic schemes: a general duality for etale constructible torsion sheaves, a theory of etale homology, and the arithmetic complexes of Gersten-Bloch-Ogus type defined by K. Kato (1986).
    In brief, there is an absolute duality using certain dualizing sheaves on these schemes, we describe and characterize the dualizing sheaves to some extent, relate them to symbol maps, define etale homology via the dualizing sheaves, and show that the niveau spectral sequence for the latter, constructed by the method of Bloch and Ogus (1974), leads to the complexes defined by Kato. Some of these relations may have been expected by experts, and some have been used implicitly in the literature, although we do not know any explicit reference for statements or proofs. Moreover, the main results are used in a crucial way in a paper by Jannsen and Saito (2003). So a major aim is to fill a gap in the literature, and a special emphasis is on precise formulations, including the determination of signs. But the general picture developed here may be of interest itself.

    DOI： 10.1515/crelle-2012-0043

    Web of Science

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  • Syntomic cohomology and Beilinson's Tate conjecture for K2 Reviewed

    Masanori ASAKURA, Kanetomo SATO

    Journal of Algebraic Geometry   22   481 - 547   2013

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

    We study Beilinson's Tate conjecture for K2 using the theory of syntomic cohomology. As an application, we construct integral indecomposable elements of K1 of elliptic surfaces. Moreover, we give the first example of a surface X with pg≠0 over a p-adic field such that the torsion of CH0(X) is finite. © 2013 University Press, Inc.

    DOI： 10.1090/S1056-3911-2012-00591-8

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  • Finiteness theorem for zero-cycles over p-adic fields Reviewed

    Shuji SAITO, Kanetomo SATO

    Annals of Mathematics   172   1593 - 1639   2010.11

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：ANNAL MATHEMATICS  

    Let R be a henselian discrete valuation ring. Let X be a regular projective flat scheme over Spec (R) with generalized semistable reduction. We prove a bijectivity theorem for etale cycle class maps of the Chow group of 1-cycles on X. As an application, we prove a finiteness theorem for the Chow group of 0-cycles on a projective smooth variety over a p-adic field.

    DOI： 10.4007/annals.2010.172.1593

    Web of Science

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  • p-adic étale Tate twists and arithmetic duality. Reviewed

    Kanetomo SATO

    Annales Scientifiques de l'École Normale Supérieure   40   519 - 588   2007.4

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  • 算術的曲面のエタールコホモロジーとゼータ関数の値

    佐藤周友

    第65回代数学シンポジウム報告集   150 - 169   2021.1

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    Language：Japanese   Publishing type：Research paper (conference, symposium, etc.)   Publisher：日本数学会代数学分科会  

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  • Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance Reviewed

    Masanori ASAKURA, Kanetomo SATO

    Journal of Mathematical Sciences, the University of Tokyo   26   249 - 334   2019.12

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：University of Tokyo  

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  • Zero-cycles on varieties over p-adic fields and Brauer groups Reviewed

    Shuji SAITO, Kanetomo SATO

    Annales Scientifiques de l'École Normale Supérieure   47   505 - 537   2014.5

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：SOC MATHEMATIQUE FRANCE  

    In this paper, we study the Brauer-Manin pairing of smooth proper varieties over a p-adic field, and determine the p-adic part of the image of the induced cycle map. We also compute A(0) of a potentially rational surface which splits over a wildly ramified extension.

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  • Cycle classes for p-adic étale Tate twists and the image of p-adic regulators Reviewed

    Kanetomo Sato

    DOCUMENTA MATHEMATICA   18   177 - 247   2013

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：UNIV BIELEFELD  

    In this paper, we construct Chern class maps and cycle class maps with values in p-adic etale Tate twists [Sa2]. We also relate the p-adic etale Tate twists with the finite part of Bloch-Kato. As an application, we prove that the integral part of p-adic regulator maps has values in the finite part of Galois cohomology under certain assumptions.

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  • Beilinson's Tate conjecture for K2 of elliptic surface: a survey and example Reviewed

    Masanori ASAKURA, Kanetomo SATO

    Cycles, Motives and Shimura Varieties (Srinivas, V. ed.)   35 - 58   2010.8

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  • A p-adic regulator map and finiteness results for arithmetic schemes Reviewed

    Shuji SAITO, Kanetomo SATO

    Documenta Mathematica, Extra Volume: Andrei A. Suslin's Sixtieth Birthday   525 - 594   2010.4

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  • l-adic class field theory for regular local rings Reviewed

    Kanetomo SATO

    Mathematische Annalen   344   341 - 352   2009.6

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

    In this paper, we prove the l-adic abelian class field theory for henselian regular local rings of equi-characteristic assuming the surjectivity of Galois symbol maps, which is an l-adic variant of a result of Matsumi (Class field theory for F(q) [[X(1),..., X(n)]], preprint, 2002).

    DOI： 10.1007/s00208-008-0309-1

    Web of Science

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  • Logarithmic Hodge-Witt sheaves on normal crossing varieties Reviewed

    Kanetomo SATO

    Mathematische Zeitschrift   257   707 - 743   2007.12

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

    In this paper, we define two kinds (homological and cohomological) of etale logarithmic Hodge-Witt sheaves on normal crossing varieties over a perfect field of positive characteristic, and discuss some fundamental properties, in particular puity and duality.

    DOI： 10.1007/s00209-006-0033-z

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  • Non-divisible cycles on surfaces over local fields Reviewed

    Kanetomo SATO

    Journal of Number Theory   114   272 - 297   2005.10

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：ACADEMIC PRESS INC ELSEVIER SCIENCE  

    In this paper, we are concerned with the reciprocity map of unramified class field theory for smooth projective surfaces over non-archimedean local fields which do not have potentially good reduction. We will construct two types of smooth projective surfaces whose reciprocity maps modulo positive integers are not injective. The first type is the case where the kernel of the reciprocity map is not divisible. The second is the case where the kernel of the reciprocity map is divisible, but where nevertheless the reciprocity map modulo some integer is not injective. (c) 2005 Elsevier Inc. All rights reserved.

    DOI： 10.1016/j.jnt.2004.08.015

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  • Higher-dimensional arithmetic using p-adic étale tate twists Reviewed

    Kanetomo SATO

    Homology, Homotopy and Applications   7   173 - 187   2005

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：INT PRESS  

    This paper is a survey on recent researches of the author and his recent joint work with Shuji Saito. We will explain how to construct p-adic etale Tate twists on regular arithmetic schemes with semistable reduction, and state some fundamental properties of those objects. We will also explain how to define cycle class maps from Chow groups to etale cohomology groups with coefficients in p-adic ' etale Tate twists and state injectivity and surjectivity results on those new cycle class maps.

    Web of Science

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  • Finiteness of a certain motivic cohomology group of varieties over local and global fields. Reviewed

    Kanetomo SATO

    Miyake, K. (ed.), Class Field Theory - Its Centenary and Prospect (Adv. Stud. Pure Math. 30)   pp. 325 - 333   2001.4

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  • Abel-Jacobi mappings and finiteness of motivic cohomology groups. Reviewed

    Kanetomo SATO

    Duke Mathematical Journal   104   75 - 112   2000.4

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  • On the kernel of the reciprocity map of normal surfaces over finite fields Reviewed

    Kazuya MATSUMI, Kanetomo SATO, Masanori ASAKURA

    K-Theory   18   203 - 234   1999

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Springer Netherlands  

    The reciprocity map of a smooth proper variety over a finite field is known to have a trivial kernel and dense image. In this paper, we investigate the reciprocity map of a normal surface proper over a finite field and give two examples of normal projective surfaces whose reciprocity maps are not injective. © 1999 Kluwer Academic Publishers.

    DOI： 10.1023/A:1007828326624

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  • Injectivity of the torsion cycle map of codimension two of varieties over p-adic fields with semi-stable reduction. Reviewed

    Kanetomo SATO

    Journal für die Reine und angewandte Mathematik   501   221 - 235   1998.4

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Books

  • 代数的サイクルとエタールコホモロジー

    斎藤秀司, 佐藤周友（ Role： Joint author）

    丸善出版  2012.12 

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    Total pages：672   Responsible for pages：580   Language：Japanese   Book type：Scholarly book

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Presentations

  • Étale cohomology of arithmetic surfaces and a zeta value Invited

    Kanetomo SATO

    2022.7 

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  • 算術的曲面のエタールコホモロジーとゼータ値 Invited

    佐藤周友

    談話会  ( 東北大学大学院理学研究科（オンライン開催） )   2020.10  東北大学大学院理学研究科

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    Language：Japanese   Presentation type：Oral presentation (invited, special)  

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  • 算術的曲面のエタールコホモロジーとゼータ関数の値 Invited

    佐藤周友

    第65回代数学シンポジウム  ( 千葉大学理学部（オンライン開催） )   2020.9  千葉大学理学部（オンライン開催）

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  • \'Etale cohomology and a zeta-value of arithmetic schemes Invited

    Kanetomo SATO

    Rational Points on Higher Dimensional Varieties  ( RIMS, Kyoto )   2019.12 

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  • \'Etale cohomology and a zeta value of arithmetic surfaces Invited

    Kanetomo SATO

    京都大学談話会  ( 京都大学数理解析研究所, 京都市左京区 )   2019.11  京都大学大学院理学研究科, 数理解析研究所

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  • \'Etale cohomology and a zeta value of arithmetic schemes

    Kanetomo SATO

    Regulators in Niseko 2019  ( Hilton Niseko Village )   2019.9 

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  • 算術的スキームのエタールコホモロジーとSelmer群 Invited

    Kanetomo SATO

    東京工業大学理学院数学系談話会  ( 東京工業大学理学院数学系 )   2019.7 

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  • \'Etale cohomology and Selmer groups of arithmetic schemes Invited International conference

    Kanetomo SATO

    Motives in Tokyo 2019  ( University of Tokyo )   2019.2 

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  • 算術的曲面のエタールコホモロジーとSelmer群 Invited

    Kanetomo SATO

    早稲田大学整数論セミナー  ( 東京都新宿区 )   2019.1  早稲田大学理工学部数学科

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  • ゼータ関数とコホモロジー Invited

    Kanetomo SATO

    中央大学理工学部数学科談話会  ( 東京都文京区 )   2018.12  中央大学理工学部数学科

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  • A new cohomology theory for arithmetic schemes and its applications Invited

    Kanetomo SATO

    2018年度日本数学会年会代数学賞受賞特別講演  ( 東京大学 )   2018.3  University of Tokyo

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  • コンパクト台のモチビックコホモロジーについて Invited

    佐藤周友

    京都大学談話会  ( 京都大学数理解析研究所 )   2016.12  RIMS

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  • Cycle complexes extended by zero and with modulus Invited International conference

    Kanetomo SATO

    p-adic Metheds in Arimthetic Geometry in Sendai 2016  ( 東北大学大学院理学研究科 )   2016.11  Tohoku University

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  • Cycle complex and motivic cohomology extended by zero Invited International conference

    Kanetomo SATO

    Japan-Taiwan Joint Conference on Number Theory 2016  ( 国立臺灣大学 )   2016.9  National Taiwan University

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  • Overview

    Kanetomo SATO

    Yatsugatake Workshop 2016  ( 八ヶ岳自然文化園セミナーハウス )   2016.9  八ヶ岳自然文化園セミナーハウス

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    Language：English   Presentation type：Oral presentation (keynote)  

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  • Cycle complexes extended by zero and with modulus Invited

    Kanetomo SATO

    Hakodate workshop on arithmetic geometry 2016  ( 函館アリーナ（函館市） )   2016.5  函館アリーナ（函館市）

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  • Euler Class, I

    Kanetomo SATO

    Yatsugatake Workshop 2015  ( 八ヶ岳自然文化園セミナーハウス )   2015.8  八ヶ岳自然文化園セミナーハウス

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  • p-adic \'etale Tate twists with moduli Invited

    Kanetomo SATO

    Arithmetic geometry, Chow groups and rational points  ( Steklov Institute for Mathematics, Rusia )   2015.6  Steklov Institute for Mathematics, Rusia

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  • p-adic \'etale Tate twists with negative log poles and with modulus Invited

    SATO, Kanetomo

    Motives in Tokyo 2014  ( 東京大学大学院数理科学研究科 )   2014.12  University of Tokyo

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  • Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance Invited

    Kanetomo SATO

    数論幾何、導来幾何の斬新な様相  ( 中央大学理工学部 )   2014.10  Chuo Univerisity

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  • Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance Invited International conference

    Kanetomo SATO

    Japan-Taiwan Joint Confenrece on Number Theory 2014  ( 休暇村気仙沼大島 )   2014.9  Kesen-numa Oshima

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  • Introduction to Beilinson's work on cyclic homology

    Kanetomo SATO

    Yatsugatake workshop 2014  ( 八ヶ岳自然文化園セミナーハウス )   2014.8  八ヶ岳自然文化園セミナーハウス

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  • p進体上の多様体の Brauer-Manin ペアリングとBrauer 群の純粋性について Invited

    Kanetomo SATO

    慶應代数セミナー  ( 慶應義塾大学理工学部 )   2014.2  慶應義塾大学理工学部

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  • 対数的スムーズ族上のp進的隣接輪体の層について Invited

    Kanetomo SATO

    数論合同セミナー  ( 京都大学大学院理学研究科 )   2013.11  京都大学大学院理学研究科、数理解析研究所

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  • ホモトピー不変性を仮定しないリーマン・ロッホの定理 Invited

    Kanetomo SATO

    整数論・保型形式セミナー  ( 大阪大学大学院理学研究科 )   2013.6  大阪大学大学院理学研究科

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  • ホモトピー不変性を仮定しないリーマン・ロッホの定理 Invited

    Kanetomo SATO

    豊田中研数学コロキウム  ( 豊田中央研究所 )   2013.3  豊田中央研究所

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  • サイクルの次元関数について Invited

    Kanetomo SATO

    豊田中研数学コロキウム  ( 豊田中央研究所 )   2013.3  豊田中央研究所

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  • Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance Invited International conference

    Kanetomo SATO

    Motives in Tokyo 2012  ( 東京大学大学院数理科学研究科 )   2012.12  東京大学大学院数理科学研究科

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  • Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance Invited International conference

    Kanetomo SATO

    p-adic cohomology and its applications to arithmetic geometry  ( 東北大学大学院理学研究科 )   2012.11  東北大学大学院理学研究科

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  • 代数的サイクルとコホモロジー Invited

    Kanetomo SATO

    早稲田大学整数論セミナー  ( 早稲田大学理工学部 )   2012.7  早稲田大学理工学部

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  • 算術的スキームのコホモロジーとレギュレーター写像

    Kanetomo SATO

    代数セミナー  ( 中央大学理工学部 )   2012.4  中央大学理工学部

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  • サイクルの次元関数について

    佐藤周友

    モチーフ、代数的サイクル、代数的K理論セミナー  ( 中央大学理工学部 )   2012.3  中央大学理工学部

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  • On 1-cycle class maps over p-adic integer rings Invited International conference

    Kanetomo SATO

    International workshop on motives in Tokyo, Part 6  ( 東京大学大学院数理科学研究科 )   2010.12  東京大学大学院数理科学研究科

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  • On the Chow groups of 0-cycles of varieties over p-adic fields Invited International conference

    Kanetomo Sato

    2010代数幾何学シンポジウム  ( 城崎大会議館 )   2010.10  城崎大会議館

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  • On the image of p-adic regulator Invited

    Kanetomo SATO

    数論幾何学ワークショップ2010  ( 沖縄県那覇市 )   2010.8  沖縄県那覇市

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  • Syntomic cohomology and Beilinson's Tate conjecture for K_2, part II Invited

    Kanetomo SATO

    数論幾何学ワークショップ2010  ( 沖縄県那覇市 )   2010.8  沖縄県那覇市

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  • Syntomic cohomology and Beilinson's Tate conjecture for K_2, part I Invited

    Kanetomo SATO

    数論幾何学ワークショップ2010  ( 沖縄県那覇市 )   2010.8  沖縄県那覇市

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  • p進体上の多様体のチャウ群 Invited

    Kanetomo SATO

    大阪大学整数論・保型形式セミナー  ( 大阪大学大学院理学研究科 )   2010.5 

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  • ガロアコホモロジー Invited

    第17回整数論サマースクール  ( 京都市左京区 )   2009.8  京都市左京区

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  • Higher cycle class maps for p-adic \'etale Tate twists International conference

    Kanetomo SATO

    玉原数論幾何研究集会  ( 東大玉原国際セミナーハウス )   2009.5  東大玉原国際セミナーハウス

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  • 算術的スキームのp進的コホモロジーとサイクル写像 Invited

    Kanetomo SATO

    日本数学会代数学分科会特別講演  ( 東京大学 )   2009.3  東京大学

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  • ベクトル束とチャーン類

    Kanetomo SATO

    数論ひろば  ( 名古屋大学大学院多元数理科学研究科 )   2009.1  名古屋大学大学院多元数理科学研究科

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  • Higher cycle class maps for p-adic \'etale Tate twists Invited International conference

    Kanetomo SATO

    代数的K理論とmotive理論の現状  ( 京都大学数理解析研究所 )   2008.7  RIMS

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  • What is motive theory? Invited International conference

    Kanetomo SATO

    代数的K理論とmotive理論の現状  ( 京都大学数理解析研究所 )   2008.6  RIMS

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  • p進数体上の多様体の0サイクルの有限性について Invited

    Kanetomo SATO

    談話会  ( 広島大学大学院理学研究科数学専攻 )   2008.5  広島大学大学院理学研究科数学専攻

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  • 代数的サイクルとサイクル写像 その３, その４ Invited

    Kanetomo SATO

    数論幾何学セミナー  ( 北海道大学大学院理学研究院数学部門 )   2008.2  北海道大学大学院理学研究院数学部門

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  • 代数的サイクルとサイクル写像 その１, その２ Invited

    Kanetomo SATO

    数論幾何学セミナー  ( 北海道大学大学院理学研究院数学部門 )   2008.2  北海道大学大学院理学研究院数学部門

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  • 類体論からサイクル写像へ ２

    Kanetomo SATO

    数論ひろば  ( 名古屋大学大学院多元数理科学研究科 )   2008.2  名古屋大学大学院多元数理科学研究科

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  • 類体論からサイクル写像へ １

    Kanetomo SATO

    数論ひろば  ( 名古屋大学大学院多元数理科学研究科 )   2008.1  名古屋大学大学院多元数理科学研究科

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  • p進エタールコホモロジー３

    Kanetomo SATO

    数論幾何学勉強会・入門編  ( 名古屋大学大学院多元数理科学研究科 )   2007.8  名古屋大学大学院多元数理科学研究科

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  • p進エタールコホモロジー２

    Kanetomo SATO

    数論幾何学勉強会・入門編  ( 名古屋大学大学院多元数理科学研究科 )   2007.7  名古屋大学大学院多元数理科学研究科

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  • Values of zeta functions over finite fields Invited

    Kanetomo SATO

    Motive Workshop 3  ( 東京大学大学院数理科学研究科 )   2007.7  東京大学大学院数理科学研究科

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  • p進エタールコホモロジー１

    Kanetomo SATO

    数論幾何学勉強会・入門編  ( 名古屋大学大学院多元数理科学研究科 )   2007.6  名古屋大学大学院多元数理科学研究科

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  • p進体上の代数多様体の0サイクルについて Invited

    Kanetomo SATO

    談話会  ( 愛媛大学理学部数学科 )   2007.2  愛媛大学理学部数学科

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  • Finiteness theorem on 0-cycles over p-adic fields Invited

    Kanetomo SATO

    代数学セミナー  ( 九州大学大学院数理学研究院 )   2006.11  九州大学大学院数理学研究院

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  • 局所体上の0サイクルの弱いMordell-Weil型問題へのアプローチ Invited

    Kanetomo SATO

    数論セミナー  ( 九州大学大学院数理学研究院 )   2006.11  九州大学大学院数理学研究院

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  • Finiteness theorem on 0-cycles over p-adic fields Invited

    Kanetomo SATO

    代数セミナー  ( 東北大学大学院理学研究科数学専攻 )   2006.10  東北大学大学院理学研究科数学専攻

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  • Motivic cohomology groups with finite coefficients 2

    Kanetomo SATO

    Motive Workshop 2  ( 東京大学大学院数理科学研究科 )   2006.9  東京大学大学院数理科学研究科

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  • Motivic cohomology groups with finite coefficients 1

    Kanetomo SATO

    Motive Workshop 2  ( 東京大学大学院数理科学研究科 )   2006.9  東京大学大学院数理科学研究科

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  • 代数的サイクル入門 ３

    Kanetomo SATO

    数論幾何学勉強会・入門編  ( 名古屋大学大学院多元数理科学研究科 )   2006.8  名古屋大学大学院多元数理科学研究科

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  • Weak Bloch-Beilinson conjecture for zero-cycles over p-adic fields Invited International conference

    Kanetomo SATO

    Algebraic K-Theory  ( Oberwolfach, Germany )   2006.7  Oberwolfach, Germany

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  • 代数的サイクル入門 ２

    Kanetomo SATO

    数論幾何学勉強会・入門編  ( 名古屋大学大学院多元数理科学研究科 )   2006.7  名古屋大学大学院多元数理科学研究科

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  • 代数的サイクル入門 １

    Kanetomo SATO

    数論幾何学勉強会・入門編  ( 名古屋大学大学院多元数理科学研究科 )   2006.6  名古屋大学大学院多元数理科学研究科

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  • An approach to a weak Modell-Weil type problem for 0-cycles on surfaces over p-adic fields

    Kanetomo SATO

    広島ミニシンポジウム  ( 広島大学大学院理学研究科数学専攻 )   2006.2  広島大学大学院理学研究科数学専攻

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  • Bloch-Kato conjecture and Beilinson-Lichtenbaum conjecture Invited

    Kanetomo SATO

    Motive Workshop 1  ( 東京大学大学院数理科学研究科 )   2005.12  東京大学大学院数理科学研究科

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  • p進体上の曲面の0サイクルに対する弱いMordell-Weil 型予想へのアプローチ Invited

    Kanetomo SATO

    代数的整数論とその周辺  ( 京都大学数理解析研究所 )   2005.12  RIMS

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  • Cycle class maps for arithmetic schemes Invited

    Kanetomo SATO

    広島代数幾何学シンポジウム  ( 広島大学大学院理学研究科数学専攻 )   2005.7  広島大学大学院理学研究科数学専攻

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  • A^1ホモトピー理論入門 Invited

    Kanetomo SATO

    広島代数幾何学シンポジウム  ( 広島大学大学院理学研究科数学専攻 )   2005.7  広島大学大学院理学研究科数学専攻

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  • Local deformation of abelian varieties

    Kanetomo SATO

    Arithmetic Geometry Working Group  ( 名古屋大学大学院多元数理科学研究科 )   2005.7  名古屋大学大学院多元数理科学研究科

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  • p-adic \'etale Tate twists and arithmetic duality

    Kanetomo SATO

    解析数論セミナー  ( 名古屋大学大学院多元数理科学研究科 )   2005.5  名古屋大学大学院多元数理科学研究科

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  • Brauer-Manin pairings for varieties over p-adic fields Invited

    Kanetomo SATO

    Algebra Seminar  ( Los Angeles, CA, USA )   2005.3  University of Southern California

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  • p-adic \'etale Tate twists and p-adic \'etale cohomology Invited International conference

    Kanetomo SATO

    JAMI Conference ``Hodge Theory and Log Geometry"  ( Johns Hopkins University, Baltimore, MD, USA )   2005.3  The Japan-U.S. Mathematics Institute

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  • Introduction to p-adic \'etale Tate twists International conference

    Kanetomo SATO

    JAMI Seminar  ( Johns Hopkins University, Baltimore, MD, USA )   2005.3  The Japan-U.S. Mathematics Institute

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  • Arithmetic on arithmetic schemes and Galois cohomology Invited

    Kanetomo SATO

    Number Theory Seminar  ( KIAS, Korea )   2004.12  KIAS, Korea

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  • p進Tate twistと算術的双対性

    Kanetomo SATO

    代数幾何学セミナー  ( 名古屋大学大学院多元数理科学研究科 )   2004.12  名古屋大学大学院多元数理科学研究科

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  • p進Tate twistと算術的スキームの数論 Invited

    Kanetomo SATO

    代数的整数論とその周辺  ( 京都大学数理解析研究所 )   2004.12  RIMS

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  • p-adic Tate twists and arithmetic of arithmetic schemes Invited International conference

    Kanetomo SATO

    Hiroshima Algebraic Geometry Symposium  ( 広島大学大学院理学研究科数学専攻 )   2004.11  広島大学大学院理学研究科数学専攻

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  • 数体上の多様体の数論とガロアコホモロジー

    Kanetomo SATO

    整数論セミナー  ( 大阪大学大学院理学研究科数学専攻 )   2004.11  大阪大学大学院理学研究科数学専攻

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  • p-adic étale Tate twists and arithmetic duality Invited

    Kanetomo Sato

    Arithmetic Geometry Seminar  ( Bielefeld, Germany )   2004.6  Universität Bielefeld

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  • Arithmetic of varieties over p-adic fields Invited International conference

    Kanetomo Sato

    Colloquium  ( Bielefeld, Germany )   2004.6  Universität Bielefeld

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  • Brauer-Manin pairings for varieties over p-adic fields Invited International conference

    Kanetomo Sato

    Galois Theory and Arithmetic  ( Bonn, Germany )   2004.6  Universität Bonn

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  • Brauer-Manin pairings for varieties over p-adic fields Invited

    Kanetomo Sato

    Number Theory Seminar  ( Oxford, UK )   2004.5  The Oxford University

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  • p-adic étale Tate twists and arithmetic duality Invited International conference

    Kanetomo Sato

    Applications of K-theory and Cohomology  ( Southampton, UK )   2004.4  The University of Southampton

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  • p-adic étale Tate twists and arithmetic duality Invited International conference

    Kanetomo Sato

    Motives and Homotopy Theory of Schemes  ( Oberwolfach, Germany )   2004.3  Oberwolfach, Germany

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  • p-adic étale Tate twists and arithmetic duality Invited

    Kanetomo Sato

    London Number Theory Seminar  ( London, UK )   2004.2  The Imperial College

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  • Unramified class field theory in dimension two

    Seminar on Higher Arithmetic  ( Nottingham, UK )   2004.1  The University of Nottingham

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  • p-adic étale Tate twists and arithmetic duality

    Kanetomo Sato

    Number Theory Seminar  ( Nottingham, UK )   2004.1  The University of Nottingham

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  • Unramified class field theory for curves over local fields

    Kanetomo Sato

    Seminar on Higher Arithmetic  ( Nottingham, UK )   2004.1  The University of Nottingham

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  • Kato's higher local class field theory

    Kanetomo Sato

    Seminar on Higher Arithmetic  ( Nottingham, UK )   2003.12  The University of Nottingham

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  • Introduction to Chow groups

    Kanetomo Sato

    Number Theory Seminar  ( Nottingham, UK )   2003.11  The University of Nottingham

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  • Homotopy theory for sheaves II Invited

    Kanetomo Sato

    Arithmetic Geometry Seminar  ( Pasadena, CA, USA )   2003.2  California Institute of Technology

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  • Homotopy theory of sheaves I Invited

    Kanetomo Sato

    Arithmetic Geometry Seminar  ( Pasadena, CA, USA )   2003.2  California Institute of Technology

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  • p-adic \'etale Tate twists and arithmetic duality Invited

    Kanetomo SATO

    Number Theory Seminar  ( Durham, NC, USA )   2002.10  Duke University

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  • p-adic \'etale Tate twists and arithmetic duality Invited

    Kanetomo SATO

    Number Theory Seminar  ( Pasadena, CA, USA )   2002.10  California Institute of Technology

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  • A construction of \'etale Tate twists with finite coefficients in mixed characteristics Invited

    Kanetomo SATO

    Number Theory Seminar  ( Salt Lake City, UT, USA )   2002.4  University of Utah

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  • A construction of \'etale Tate twists with finite coefficients in mixed characteristics

    Kanetomo SATO

    Algebra Seminar  ( Los Angeles, CA, USA )   2001.12  University of Southern California

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  • 数論的スキームのエタールコホモロジーと双対性

    佐藤周友

    整数論セミナー  ( 名古屋大学大学院多元数理科学研究科 )   2001.4  名古屋大学大学院多元数理科学研究科

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  • 局所体上の曲面の類体論と相互写像の単射性 Invited

    第45回代数学シンポジウム  ( 九州大学大学院数理学研究院 )   2000.8  九州大学大学院数理学研究院

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  • 局所体上の曲面の上の非加除なサイクル (2)

    Kanetomo SATO

    代数幾何セミナー  ( 名古屋大学大学院多元数理科学研究科 )   2000.6  名古屋大学大学院多元数理科学研究科

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  • p進体上のK3曲面の上の非加除なサイクル Invited

    Kanetomo SATO

    代数学セミナー  ( 九州大学大学院数理学研究院 )   2000.5  九州大学大学院数理学研究院

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  • 局所体上の曲面の上の非加除なサイクル (1)

    Kanetomo SATO

    代数幾何セミナー  ( 名古屋大学大学院多元数理科学研究科 )   2000.5  名古屋大学大学院多元数理科学研究科

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  • 数体上の多様体のゼータ関数と幾何

    Kanetomo SATO

    整数論セミナー  ( 名古屋大学大学院多元数理科学研究科 )   2000.5  名古屋大学大学院多元数理科学研究科

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  • 大域体上の代数局面でℓ進Abel-Jacobi写像が単射であるような例

    Kanetomo SATO

    日本数学会代数学分科会  ( 広島大学 )   1999.9  広島大学

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  • 大域体上の代数多様体のℓ進アーベル・ヤコビ写像について Invited

    Kanetomo SATO

    代数幾何セミナー  ( 広島大学大学院理学研究科数学専攻 )   1999.1  広島大学大学院理学研究科数学専攻

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  • 大域体上の代数多様体のℓ進アーベル・ヤコビ写像について Invited

    Kanetomo SATO

    1998.12  RIMS

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  • 数論的体上の多様体のエタールコホモロジー群のある種の有限性 Invited

    Hodge 理論, Log 幾何, 退化  ( 八ヶ岳泉郷 )   1998.10  八ヶ岳泉郷

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  • Finiteness of a certain motivic cohomology group of varieties over local or global fields International conference

    Kanetomo SATO

    Arithmetic and Geometry of Algebraic Cycles  ( Banff Centre, Canada )   1998.6  Banff Centre, Canada

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  • Finiteness of a certain motivic cohomology of varieties over local and global fields Invited International conference

    Kanetomo SATO

    Class Field Theory ― Its Centenary and Prospect  ( Weseda University )   1998.6  Weseda University

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  • 数論的体上の代数多様体のエタールコホモロジー群の有限性 Invited

    Kanetomo SATO

    代数セミナー  ( 東北大学大学院理学研究科 )   1998.5  東北大学大学院理学研究科

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  • Finiteness of a certain motivic cohomology group of varieties over local or global fields Invited

    Kanetomo SATO

    Arithmetic Geometry Seminar  ( Isaac Newton Institute for Mathematical Sciences, UK )   1998.3  Isaac Newton Institute for Mathematical Sciences

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  • モチビックコホモロジーの有限性とチャ－ン類写像への応用

    Kanetomo SATO

    代数学コロキウム  ( 東京大学大学院数理科学研究科 )   1998.1  東京大学大学院数理科学研究科

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  • 局所体上の多様体の余次元2のサイクル写像について Invited

    Kanetomo SATO

    代数的整数論とその周辺  ( 京都大学数理解析研究所 )   1996.11  RIMS

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    Language：Japanese   Presentation type：Oral presentation (invited, special)  

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  • p進体上の代数多様体の余次元2のChow群のねじれ部分の有限性とサイクル写像の単射性 Invited

    Kanetomo SATO

    整数論金曜セミナー  ( 早稲田大学理工学部 )   1996.11  早稲田大学理工学部

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    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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  • p進体上の代数多様体の余次元2のChow群のねじれ部分の有限性とサイクル写像の単射性 Invited

    Kanetomo SATO

    幾何学セミナー  ( 東京都立大学理学部 )   1996.10  東京都立大学理学部

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    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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  • On the torsion subgroup of the Chow groups of codimension two and the cycle map Invited

    Kanetomo SATO

    月曜談話会  ( 東京都文京区 )   1996.9  中央大学理工学部

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    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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  • On the torsion cycle map of codimension two of varieties over p-adic fields

    Kanetomo SATO

    代数学コロキウム  ( 東京大学大学院数理科学研究科 )   1996.5  東京大学大学院数理科学研究科

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    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

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Awards

  • 2018年度日本数学会代数学賞

    2018.3   日本数学会   数論的スキームに対する新しいコホモロジー理論とその応用

    佐藤周友

  • 2001年度日本数学会賞建部賢弘奨励賞

    2001.10   日本数学会   数体上の多様体のサイクル写像

    佐藤周友

Research Projects

  • 代数的サイクルを用いたゼータ関数の研究

    2020.4 - 2025.3

    文部科学省  科学研究費補助金  基盤研究(C) 

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    Grant type：Competitive

    Grant amount： \4550000 （ Direct Cost: \3500000 、 Indirect Cost： \1050000 ）

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  • Motivic cohomology over discrete valuation rings

    Grant number：23340004  2011.4 - 2016.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B) 

    Geisser Thomas, Hesselholt Lars, Saito Shuji, Sato Kanetomo, Asakura Masanori

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    Grant amount： \17680000 （ Direct Cost: \13600000 、 Indirect Cost： \4080000 ）

    Arithmetic geometry is the study of integral or rational solutions of systems of polynomial equations. For this, it is often useful to study the solutions in other domains, like complex number, real numbers, finite fields, or p-adic fields. An important invariant of such solution sets are motivic cohomology, higher Chow groups, and Suslin homology. During this project, I studied these invariants, and proved several interesting results about them.

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  • Algebraic Cycles and Higher Abel-Jacobi map

    Grant number：14340009  2002 - 2005

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B) 

    SAITO Shuji, SAITO Takeshi, KATSURA Toshiyuki, MIYAOKA Yoichi

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    Grant amount： \9900000 （ Direct Cost: \9900000 ）

    Motivic cohomology is one of the most significant objects to study in arithmetic and algebraic geometry. For example, let K be a number field and O_K be its ring of integers. Then the ideal class group of K and the group of units in O_K are motivic cohomology of the scheme Spec(O_K).
    An important conjecture in arithmetic geometry is finiteness of motivic cohomology of arithmetic schemes. This is a natural generalization of the finiteness result for the above examples, which is a fundamental fact in classical number theory. There have been very few results on the problem so far except the case of Spec(O_K) or a curve over a finite field.
    In our research we have proved a new finiteness result for motivic cohomology. To state a result, let X be either regular projective flat over Spec(O_K) (arithmetic case) or a projective smooth variety over a finite field F (geometric case). The first crucial observation is that the finiteness of a certain motivic cohomology of X follows from a conjecture of Kato on the vanishing of KH_q(X) for integers q〓1. Here KH_q(X) is a certain arithmetic invariant attached to X. The Kato conjecture in case X=Spec(O_K) is equivalent to a fundamental fact in number theory concerning the Brauer group of K, which implies the Hasse principle for central simple algebras over K.
    We have shown the Kato conjecture in geometric case under the assumption of resolution of singu-larities. To be more precise we have obtain the following:
    Theorem Let X be a projective smooth variety over a finite field. Let γ〓1 be an integer. Assume resolution of singularities for subvarieties of dimension〓_K embedded in a smooth variety over F. Then KH_q(X)=0 for 1〓q〓γ+2.
    We have also succeeded to show the resolution of singularities in the above sense in case γ=2. Thus we get KH_q(X)=0 for 1〓q〓4 unconditionally and it gives rise to a new finiteness result for motivic cohomology of X.

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  • 数体上の代数多様体のモチビックコホモロジー群

    Grant number：13740007  2001 　 　

    日本学術振興会  科学研究費助成事業  奨励研究(A)  名古屋大学

    佐藤 周友

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    Grant amount： \1000000 （ Direct Cost: \1000000 ）

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  • 半安定還元をもつ代数多様体のCHOW群のねじれ部分の有限性とサイクル写像の単射性

    Grant number：96J04303  1998 　 　

    日本学術振興会  科学研究費助成事業  特別研究員奨励費  東京工業大学

    佐藤 周友

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    Grant amount： \800000 （ Direct Cost: \800000 ）

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Teaching Experience

  • 数学特殊論文研修 VI

  • 数学特殊論文研修 V

  • 数学特殊論文研修 IV

  • 数学特殊論文研修 III

  • 数学特殊論文研修 II

  • 数学特殊論文研修 I

  • 数学特別演習第二

  • 数学特別演習第一

  • 数学論文研修第二

  • 数学論文研修第一

  • 代数学特論第六

  • 代数学特論第五

  • 卒業研究 II

  • 卒業研究 I

  • 代数学４

  • 代数学３

  • 代数学２

  • 代数学１

  • 代数学序論演習

  • 代数学序論

  • 線形代数学２演習

  • 線形代数学１演習

  • 線形代数学２

  • 線形代数学１

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Committee Memberships

  • 2024.6 - Now

    日本数学会   理事  

  • 2023.7 - Now

    日本数学会   雑誌`数学'編集委員長  

  • 2023.3 - Now

    日本数学会   評議員（編集会）  

  • 2022.3 - 2023.2

    日本数学会   代議員（関東支部第6ブロック選出）  

  • 2020.3 - 2021.2

    日本数学会   『数学通信』非常任編集委員  

  • 2020.3 - 2021.2

    日本数学会   代議員（関東支部第6ブロック選出）  

  • 2019.3 - 2020.2

    日本数学会   『数学通信』常任編集委員  

  • 2019.3 - 2020.2

    日本数学会   評議員（関東支部選出）  

  • 2013.9 - 2014.6

    日本数学会   雑誌`数学'常任編集委員  

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