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無限可積分系
Showing the original Japanese · View translation
可積分系の数理構造を使い、方程式を厳密に解析する研究分野。
AboutAbout the lab
解析が難しい系を、背後の数理構造で解く。
無限可積分系の
本来は
代数・幾何・解析・応用の
教員は、
Key terms
- 可積分系
- 背後の
数理構造の おかげで、 厳密で 詳細な 解析が できる ことが ある 方 程式や システム。 - 離散微分幾何
- 曲線や
曲面を、とびとびの 点の 並びと して 扱う 微分幾何。 - パンルヴェ方程式
- 2階の
常微分方 程式の 族。 離散版は、 2階の 差分方 程式の 族と して 研究される。
ResearchResearch themes
無限可積分系の
*Illustrative image厳密に解析できる方程式とシステム
非線形
*Illustrative image離散微分幾何と形状の生成
梶原教授は、
*Illustrative imageパンルヴェ方程式の研究
梶原教授は、
*Illustrative image結び目と量子不変量
樋上准教授は、
MembersFaculty
- Professor梶原 健司
- Associate Professor樋上 和弘
- Assistant Professor重富 尚太
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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: “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)
- 厳密に
解析できる 方程式と システム: “Soliton 1st order” Alessio Damato / CC BY-SA 3.0 (cropped) - 離散微分幾何と
形状の 生成: “Museum of Anatolian Civilizations Hattian disk with geometric design in 2019 02” Dosseman / CC BY-SA 4.0 (cropped) - パンルヴェ方
程式の 研究: “Gullstrand-Painleve-Freefall-Diagram” Yukterez (Simon Tyran, Vienna) / CC BY-SA 4.0 (cropped) - 結び目と
量子不変量: “Good luck knot(ABOK 2437)” Zaripov Rustem / 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 (数論): “SinRiemannSiegelTheta” Chrgue / CC BY-SA 3.0 (cropped)
- Related lab (数理物理): “Crabbers eye knot-removebg-preview” Zaripov999 / CC BY-SA 4.0 (cropped)
- Related lab (微分方程式): “Gradient Vector Flow 3D Metasphere Example Result” YoungX2040 / CC BY-SA 4.0 (cropped)
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