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基礎数理研究部門（山下 剛）
Showing the original Japanese · View translation
p進Hodge理論や多重ゼータ値など、数論幾何を研究する研究室。
AboutAbout the lab
数と図形をつなぐ、数論幾何の研究。
山下研究室は、
研究分野と
山下講師を
大学院入学後は、
Key terms
- 数論幾何
- 整数や
方程式の 解の 性質を、 図形 （代数多様体）の 言葉を 使って 調べる 数学の 分野 - p進Hodge理論
- 素数pを
もとに した 数 （p進数）の 世界で、 多様体の コホモロジーどうしを 比べる 理論 - 多重ゼータ値
- ゼータ関数の
値を 多重の 和に 広げた数。 数学や 物理の さまざまな 分野と 関わる
ResearchResearch themes
数論幾何を
*Illustrative imagep進多重ゼータ値
多重ゼータ値の
*Illustrative imagep進Lefschetz (1,1)定理の拡張
p進Lefschetz (1,1)定理を
*Illustrative imageクリスタリン表現の法p還元
保型性持ち上げ定理と
*Illustrative image宇宙際Teichmüller理論の発展
望月新一氏と、
MembersFaculty
- Lecturer山下 剛
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Riemann zeta function absolute value vi” Conscious / CC BY 2.5 (cropped)
- p進多重ゼータ値: “Partial sums riemann zeta function” Åshild Telle / CC0 (cropped)
- p進Lefschetz (1,1)定理の
拡張: “Kummer surface” Claudio Rocchini / CC BY-SA 3.0 (cropped) - クリスタリン表現の
法p還元: “Ulam spiral with prime numbers and divisor-based dot sizes” Marianoju / CC BY-SA 4.0 (cropped) - 宇宙際Teichmüller理論の
発展: “Bers-Einbettung” Café Bene / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（中山 昇） ): “Sarti dodectic 360” Salix alba / CC BY-SA 4.0 (cropped) - Related lab (基礎数理研究部門
（小野 薫） ): “Torus vectors radial” RokerHRO / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（入江 慶） ): “Overtwisted contact structure” Pmassot / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（望月 拓郎） ): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
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