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数論
Showing the original Japanese · View translation
数に関わる様々な数学の対象を代数・幾何・解析で探る分野。
AboutAbout the lab
数に潜む構造を、代数・幾何・解析で探る。
数論の
研究対象は、
数論的対象と
方法には
Key terms
- 保型形式
- 特別な
対称性を 満たす複素関数。 整数論に よく 現れる 対象 - ガロア表現
- 方
程式の 解の 入れ替え方 （ガロア群）を、 行列の 働きと して 表した もの - ゼータ函数
- 素数や
整数の 性質を 1つの 関数に まとめた もの。 リーマンの ゼータ関数が 代表例
ResearchResearch themes
数論の
*Illustrative image数に関わる様々な数学的対象
代数多様体・モチーフや
*Illustrative image保型形式の整数論的研究
この
*Illustrative image数理結晶学と格子・二次形式
この
*Illustrative imageグラフに付随する積分と位相不変量
この
MembersFaculty
- Professor翁 林
- Professor小林 真一
- Professor権 寧魯
- Professor富安 亮子
- Professor中村 健太郎
- Professor森下 昌紀
- Associate Professorアデ イルマ スリアジャヤ
- Associate Professor池松 泰彦
- Associate Professor今野 拓也
- Associate Professor斎藤 新悟
- Associate Professor竹田 雄一郎
- Associate Professor樋上 和弘
- Associate Professor松坂 俊輝
- Assistant Professor池田 香凜
- Assistant Professor石塚 裕大
- Assistant Professor小谷 久寿
VoicesStudent voices
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The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “SinRiemannSiegelTheta” Chrgue / CC BY-SA 3.0 (cropped)
- 数に
関わる 様々な 数学的対象: “Spirale Ulam 150” Généré avec la librairie GD de PHP, par Cortexd / Public domain (cropped) - 保型形式の
整数論的研究: “Hyperbolic domains 932 black” Tomruen / Public domain (cropped) - 数理結晶学と
格子・ 二次形式: “Stone Flower (Кам’яна квітка)” Яна Сычикова, Сергей Ковачев / CC BY-SA 4.0 (cropped) - グラフに
付随する 積分と 位相不変量: “Graph example (Graph theory)” Römert / CC BY-SA 3.0 (cropped) - Related lab (トポロジー): “Klein bottle green” Aizenr / CC BY-SA 4.0 (cropped)
- Related lab (表現論・調和解析): “Worm's-eye view of Tokyo Skytree with vertical symmetry impression, a sunny day, in Japan” Basile Morin / CC BY-SA 4.0 (cropped)
- Related lab (無限可積分系): “Jeff Rowley Big Wave Surfer Jaws line up 2 Peahi Maui by Xvolution Media - Flickr - Jeff Rowley Big Wave Surfer” Jeff Rowley / CC BY 2.0 (cropped)
- Related lab (力学系): “Lorenz caos3” António Miguel de Campos / Public domain (cropped)
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