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多様体論講座
Showing the original Japanese · View translation
変分法、代数解析、幾何解析、表現論などを研究する数学の講座。
AboutAbout the lab
曲線の勾配流から量子群の表現論まで。
多様体論講座は、
曲線や
山木 壱彦 教授は、
Key terms
- 勾配流
- 汎関数の
値が 減る 向きに、 曲線や 曲面の 形を 時間とともに 変えていく 流れ - 量子ウォーク
- グラフ（点と
線の つながり）の 上で 定められる ユニタリ作用素。 その 性質や 長時間の ふる まいが 研究される - 量子群
- 対称性を
司る 代数系であるリー群を 拡張した 代数系
ResearchResearch themes
多様体論講座では、
曲線・曲面の勾配流と変分問題
岡部 真也 教授は、
D加群と代数解析学
竹内 潔 教授は、
*Illustrative image幾何学的漸近解析と標準計量
楯 辰哉 教授は、
*Illustrative image表現論と数理物理学
長谷川 浩司 准教授は、
MembersFaculty
- Professor岡部 真也
- Professor竹内 潔
- Professor楯 辰哉
- Professor山木 壱彦
- Associate Professor高橋 良輔
- Associate Professor長谷川 浩司
- Assistant Professor黒木 玄
VoicesStudent voices
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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: “Soap Films” Ryan Somma / CC BY-SA 2.0 (cropped)
- 幾何学的漸近解析と
標準計量: “Undirected NetworkX Graph” KalebD07 / CC0 (cropped) - 表現論と
数理物理学: “Representation of SU(3)” Arkadipta Sarkar at English Wikipedia / CC BY-SA 3.0 (cropped) - Related lab (代数学講座): “A row of mathematics books at Jinja Public Library, Jinja City Centre” AKibombo / CC BY-SA 4.0 (cropped)
- Related lab (幾何学講座): “Riemann Minimal Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
- Related lab (解析学講座): “Slide Rule Mathematics - DPLA - afb7ca99683dc5a3f82ec3981f6eb04e” 作者不詳 / Public domain (cropped)
- Related lab (相関数理解析講座
（協力講座） ): “Mathematical and Simulation Modeling in Neuroscience (NeuroMat 2018) 04” Sturm / CC BY-SA 4.0 (cropped)
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