Updated on 2021/11/17

写真a

 
FUJIWARA, Kazuhiro
 
Organization
Graduate School of Mathematics Fundamental Mathematics Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science
Title
Professor

Degree 2

  1. Ph. D (Mathematical Sciences) ( 1994.10   The University of Tokyo ) 

  2. Master of Science ( 1989.3   The University of Tokyo ) 

Research Areas 2

  1. Others / Others  / Number Theory

  2. Others / Others  / Arithmetic Geometry

Current Research Project and SDGs 3

  1. Foundations of rigid geometry

  2. Langlands conjecture over humber fields

  3. Langlands conjecture over function fields.

Education 1

  1. The University of Tokyo   Graduate School, Division of Science   Department of Mathematics

    1987.4 - 1989.3

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    Country: Japan

Professional Memberships 1

  1. 日本数学会

Awards 1

  1. Algebra Prize, Japan Mathematical Society

    1999   Japan Mathematical Society  

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    Country:Japan

 

Papers 6

  1. *Theory of tubular neighborhood in etale topology Reviewed

    K. Fujiwara

    Duke Mathematical Journal   Vol. 80 ( 1 ) page: 15-57   1995.4

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

  2. *Rigid geometry, Lefschetz-Verdier trace formula and Deligne's conjecture Reviewed

    K. Fujiwara

    Inventiones Mathematicae   Vol. 127   page: 490-533   1997

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

  3. *Galois deformations and arithmetic geometry of Shimura varieties Invited

    K. Fujiwara

    Proceedings of the International Congress of Mathematicians Madrid 2006   Vol. 2   page: 347-371   2006.8

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    Authorship:Lead author   Language:English  

  4. Rigid geometry and applications Invited Reviewed

    Fujiwara, K., Kato, F.

    Advanced Studies in Pure Mathematics   Vol. 45   2006

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

  5. On Hausdorff completions of commutative rings in rigid geometry Reviewed

    Fujiwara, K., Gabber, O., Kato, F.

    Journal of Algebra   Vol. 332   page: 293-321   2011.2

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

    DOI: 10.1016/j.jalgebra.2011.02.001

  6. Foundations of Rigid Geometry I

    Fujiwara Kazuhiro, Kato Fumiharu

    FOUNDATIONS OF RIGID GEOMETRY I     page: XV-+   2018

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

    DOI: 10.4171/135

    Web of Science

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Books 1

  1. Foundations of Rigid Geometry I

    Kazuhiro Fujiwara, Fumiharu Kato( Role: Joint author)

    European Mathematical Society Publishing House  2018.1  ( ISBN:978-3-03719-135-4

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    Total pages:863   Language:English Book type:Scholarly book

Presentations 2

  1. Non-abelian methods in algebraic number theory International conference

    Kazuhiro Fujiwara

    JAMI conference 

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    Event date: 2013.4

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

    Country:United States  

  2. Non abelian class field theory and indivisibility of class numbers of number fields International conference

    Kazuhiro Fujiwara

    Arithmetic and algebraic geometry 2013 

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    Event date: 2013.1

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

    Country:Japan  

KAKENHI (Grants-in-Aid for Scientific Research) 2

  1. 双有利幾何学的手法によるリジッド幾何学の基礎

    2015.4 - 2019.3

    科学研究費補助金  基盤研究(B)

    藤原 一宏

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    Authorship:Principal investigator 

  2. Foundations of rigid geometry from birational viewpoint

    Grant number:15H03607  2015.4 - 2019.3

    FUJIWARA KAZUHIRO

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    Authorship:Principal investigator 

    Grant amount:\16120000 ( Direct Cost: \12400000 、 Indirect Cost:\3720000 )

    Aimed for establishing foundational aspects of rigid geometry, "Foundations of rigid geometry I" (joint with F. Kato at titech) was published from EMS (2018). A new aspect, i.e., spectral theory of filtered rings, is added during the project. Also, perfectoid spaces, which have close connection to rigid geometry, are put into our plan. After P. Scholze's introduction, many applications of perfectoid spaces are known up to now. The principal investigator has tried to understand phenomena behind cohomological purity conjectures from perfectoid viewpoint, and has given a new proof of the absolute purity conjecture.

 

Teaching Experience (On-campus) 1

  1. Linear Algebra I

    2011