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J-GLOBAL ID:201801004372319210   Update date: Aug. 04, 2024

Hattori Shin

Hattori Shin
Affiliation and department:
Homepage URL  (1): http://www.comm.tcu.ac.jp/shinh/
Research field  (1): Algebra
Research keywords  (11): 数論幾何 ,  整数論 ,  傾斜 ,  固有値多様体 ,  有限平坦群スキーム ,  Drinfeld保型形式 ,  関数体 ,  分岐 ,  整p進Hodge理論 ,  Galois表現 ,  保型形式
Research theme for competitive and other funds  (7):
  • 2020 - 2023 Drinfeld保型形式の傾斜
  • 2017 - 2020 関数体上の過収束保型形式
  • 2014 - 2017 関数体におけるGalois表現と保型形式の合同理論
  • 2013 - 2016 Study of the moduli of Galois representations of number fields and function fields
  • 2011 - 2014 Congruence relations between p-adic crystalline representations
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Papers (20):
  • Shin Hattori. ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS. Journal of the Institute of Mathematics of Jussieu. 2023. 22. 6. 2645-2716
  • Shin Hattori. Triviality of the Hecke action on ordinary Drinfeld cuspforms of level Γ1(tn ). Journal für die reine und angewandte Mathematik (Crelles Journal). 2022
  • Shin Hattori. On the compactification of the Drinfeld modular curve of level Γ1Δ(n). Journal of Number Theory. 2022. 232. 75-100
  • Shin Hattori. ℘-adic continuous families of Drinfeld eigenforms of finite slope. Advances in Mathematics. 2021. 380. 107594-107594
  • Shin Hattori. Dimension Variation of Gouvêa-Mazur Type for Drinfeld Cuspforms of Level Γ1(t). International Mathematics Research Notices. 2021. 2021. 3. 2389-2402
more...
MISC (3):
  • 服部 新. Drinfeld加群の双対性とP進Drinfeld保型形式. 第11回福岡数論研究集会報告集. 2018
  • 服部 新. Coleman-Mazur固有値曲線の次数有限な既約成分は重さ空間上有限. 2017早稲田整数論研究集会報告集. 2017
  • 服部 新. アーベル多様体の標準部分群とヒルベルト固有値多様体. 第61回代数学シンポジウム報告集. 2017
Lectures and oral presentations  (77):
  • D-elliptic sheaves and the Hasse principle
    (the AMS--UMI Joint International Meeting 2024)
  • D-elliptic sheaves and the Hasse principle
    (NCTS Number Theory Seminar 2024)
  • Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$
    (2023)
  • Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$
    (Galois Representations and Automorphic Forms 2023)
  • Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$
    (NCTS Number Theory Seminar 2023)
more...
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