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大域数理学
Showing the original Japanese · View translation
微分幾何・複素幾何を中心に、解析や代数も研究する講座。
AboutAbout the lab
幾何を中心に、解析・代数にも取り組む。
大域数理学は、
後藤教授は、
山ノ井教授は、
岩井准教授は、
Key terms
- 複素幾何学
- 複素数を
座標に もつ 空間の 幾何を 調べる 分野 - スペシャル幾何学
- カラビ・ヤウ多様体、
超ケーラー多様体、 G2・Spin(7)多様体などを まとめた 呼び方 - ネヴァンリンナ理論
- 複素平面上の
関数などが、 各値を どれだけ 取るかと いう 値の 分布を 調べる 理論 - 接ベクトル束
- 多様体の
各点に おける 接ベクトルを、全体と して 束ねた もの
ResearchResearch themes
大域数理学講座では、
*Illustrative imageスペシャル幾何学を統合する視点
カラビ・ヤウ多様体、
*Illustrative image正則曲線とネヴァンリンナ理論
ネヴァンリンナ理論の
*Illustrative image接ベクトル束が正値な代数多様体
接ベクトル束や
*Illustrative image余接ベクトル束が正値な代数多様体
数値的小平次元が
MembersFaculty
- Professor石田 政司
- Professor後藤 竜司
- Professor山ノ井 克俊
- Associate Professor戍亥 隆恭
- Associate Professor岩井 雅崇
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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: “SqrtRiemann” Auswahlaxiom / CC BY-SA 4.0 (cropped)
- スペシャル幾何学を
統合する 視点: “Calabi-Yau-alternate” The original uploader was Lunch at English Wikipedia. / CC BY-SA 2.5 (cropped) - 正則曲線と
ネヴァンリンナ理論: “Domain coloring x2-1 x-2-i x-2-i d x2+2+3i” Djiboun / CC BY-SA 4.0 (cropped) - 接ベクトル束が
正値な 代数多様体: “Calabi-Yau” Lunch / CC BY-SA 2.5 (cropped) - 余接ベクトル束が
正値な 代数多様体: “Test Configuration” Tazerenix / CC BY-SA 4.0 (cropped) - Related lab (解析学): “Graph of argument of square root of complex variable -pi to pi” Dom walden / CC BY-SA 4.0 (cropped)
- Related lab (応用数理学): “CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique ( )” Ecole polytechnique Université Paris-Saclay / CC BY-SA 2.0 (cropped)
- Related lab (幾何学): “Schwarz D Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
- Related lab (代数学): “Geodesics on hyperbolic surface” Café Bene / CC BY-SA 3.0 (cropped)
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