TRIHAN FABIEN ＴＲＩＨＡＮＦＡＢＩＥＮ

Researcher Number	60738300
Other IDs
Affiliation (Current)	2026: 上智大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 上智大学, 理工学部, 准教授 2015 – 2018: 上智大学, 理工学部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator function fields / Function fields / Elliptic curve / Iwasawa / Number theory / Function field / Class number / Iwasawa theory / Elliptic curves / abelian varieties … More / Iwasawa Theory / function / Hida / Geometric / function field / abelian variety Less

Research Projects
(2 results)
Research Products
(21 results)

Class number formula over global field of characteristic p and with coefficients.Principal Investigator
- Principal Investigator
  
  TRIHAN FABIEN
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
Geometric Iwasawa TheoryPrincipal Investigator
- Principal Investigator
  
  TRIHAN FABIEN
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University

All 2024 2023 2022 2021 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] A Comparison Theorem for Semi-Abelian Schemes over a Smooth Curve2024
- Author(s)
  Trihan Fabien、Vauclair David
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 299 Issue: 1495
- DOI
  10.1090/memo/1495
- Data Source
  KAKENHI-PROJECT-21K03186
[Journal Article] On the zeroes and poles of L-functions over varieties in positive characteristic2022
- Author(s)
  Olivier Brinon and Fabien Trihan
- Journal Title
  
  Journal fur die reine und angewandte Mathematik (Crelles Journal)
  
  Volume: 789 Issue: 789 Pages: 265-281
- DOI
  10.1515/crelle-2022-0031
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03186
[Journal Article] Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic2021
- Author(s)
  Trihan Fabien、Vauclair David
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 149 Issue: 9 Pages: 3601-3611
- DOI
  10.1090/proc/14417
- Data Source
  KAKENHI-PROJECT-21K03186
[Journal Article] On the μ-invariants of abelian varieties overfunction fields of positive characteristic2021
- Author(s)
  Lai King-Fai、Longhi Ignazio、Suzuki Takashi、Tan Ki-Seng、Trihan Fabien
- Journal Title
  
  Algebra & Number Theory
  
  Volume: 15 Issue: 4 Pages: 863-907
- DOI
  10.2140/ant.2021.15.863
- Data Source
  KAKENHI-PROJECT-21K03186
[Journal Article] Pontryagin duality for Iwasawa modules and abelian varieties.2018
- Author(s)
  Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 370 Issue: 3 Pages: 1925-1958
- DOI
  10.1090/tran/7016
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04793
[Journal Article] The Iwasawa main conjecture for semistable abelian varieties over function fields2016
- Author(s)
  K.F. Lai, I. Longhi, K.-S. Tan , F. Trihan
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 282 Issue: 1-2 Pages: 485-510
- DOI
  10.1007/s00209-015-1550-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04793
[Journal Article] , The Iwasawa main conjecture for semistable abelian varieties over function fields2016
- Author(s)
  Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien
- Journal Title
  
  Math. Z.
  
  Volume: 282 Pages: 485-510
- Data Source
  KAKENHI-PROJECT-15K04793
[Journal Article] The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields2016
- Author(s)
  Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien
- Journal Title
  
  Proc. Lond. Math. Soc.
  
  Volume: 112 Pages: 1040-1058
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] Geometric p-adic L-function2024
- Author(s)
  Fabien Trihan
- Organizer
  seminar of number theory of Rennes University, France
- Invited
- Data Source
  KAKENHI-PROJECT-21K03186
[Presentation] On a refined version of BSD type2023
- Author(s)
  Fabien Trihan
- Organizer
  seminar of number theory of National Taiwan University, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-21K03186
[Presentation] P-adic L-function of overconvergent F-isocrystals2022
- Author(s)
  Fabien Trihan
- Organizer
  Seminar of number theory of IISc Bangalore
- Invited
- Data Source
  KAKENHI-PROJECT-21K03186
[Presentation] On the Tamagawa Number Conjecture in characteristic p2022
- Author(s)
  Fabien Trihan
- Organizer
  Seminar of the University of Padova
- Invited
- Data Source
  KAKENHI-PROJECT-21K03186
[Presentation] On the Tamagawa number conjecture with coefficients in characteristic p2022
- Author(s)
  Fabien Trihan
- Organizer
  Seminar of number theory of National Taiwan University
- Invited
- Data Source
  KAKENHI-PROJECT-21K03186
[Presentation] On the Tamagawa Number Conjecture in characteristic p2022
- Author(s)
  Fabien Trihan
- Organizer
  Seminar of the Indian Institute of Science, Bangalore
- Invited
- Data Source
  KAKENHI-PROJECT-21K03186
[Presentation] On the equivariant Tamagawa number conjecture for abelian variety2019
- Author(s)
  Fabien Trihan
- Organizer
  Seminar of the National Taiwan University
- Invited
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] Equivariant Tamagawa Number conjecture for abelian varieties over function fields2018
- Author(s)
  Trihan Fabien
- Organizer
  Colloquium of Number theory, Stellenbosch University, South Africa
- Invited
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] On the equivariant Tamagawa number conjecture for abelian variety2018
- Author(s)
  Fabien Trihan
- Organizer
  International conference on arithmetic geometry over global fields, Hanoi
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] Equivariant Tamagawa Number conjecture for abelian varieties over function fields2017
- Author(s)
  Trihan Fabien
- Organizer
  Colloquium of Number theory, Rennes University
- Invited
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] Equivariant Tamagawa Number conjecture for abelian varieties over function fields2017
- Author(s)
  Trihan Fabien
- Organizer
  Colloquium University of Chile
- Invited
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] Geometric Iwasawa Theory2016
- Author(s)
  Fabien Trihan
- Organizer
  Colloquium of Harish Chandra Institute
- Place of Presentation
  Harish Chandra Institute, Allahabad, India
- Year and Date
  2016-02-26
- Invited
- Data Source
  KAKENHI-PROJECT-15K04793
[Presentation] Geometric Iwasawa Theory2016
- Author(s)
  Fabien Trihan
- Organizer
  Colloquium of Strasbourg University
- Place of Presentation
  Strasbourg University, Alsace, France
- Year and Date
  2016-04-04
- Invited
- Data Source
  KAKENHI-PROJECT-15K04793

TRIHAN FABIEN ＴＲＩＨＡＮ ＦＡＢＩＥＮ

Research Projects

Research Products

Class number formula over global field of characteristic p and with coefficients.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometric Iwasawa TheoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A Comparison Theorem for Semi-Abelian Schemes over a Smooth Curve2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the zeroes and poles of L-functions over varieties in positive characteristic2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the μ-invariants of abelian varieties overfunction fields of positive characteristic2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Pontryagin duality for Iwasawa modules and abelian varieties.2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Iwasawa main conjecture for semistable abelian varieties over function fields2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] , The Iwasawa main conjecture for semistable abelian varieties over function fields2016

Author(s)

Journal Title

Data Source

[Journal Article] The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields2016

Author(s)

Journal Title

Data Source

[Presentation] Geometric p-adic L-function2024

Author(s)

Organizer

Data Source

[Presentation] On a refined version of BSD type2023

Author(s)

Organizer

Data Source

[Presentation] P-adic L-function of overconvergent F-isocrystals2022

Author(s)

Organizer

Data Source

[Presentation] On the Tamagawa Number Conjecture in characteristic p2022

Author(s)

Organizer

Data Source

[Presentation] On the Tamagawa number conjecture with coefficients in characteristic p2022

Author(s)

Organizer

Data Source

[Presentation] On the Tamagawa Number Conjecture in characteristic p2022

Author(s)

Organizer

Data Source

[Presentation] On the equivariant Tamagawa number conjecture for abelian variety2019

Author(s)

Organizer

TRIHAN FABIEN ＴＲＩＨＡＮＦＡＢＩＥＮ