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位相幾何学・微分幾何・大域解析学（森吉 仁志）
Showing the original Japanese · View translation
解析と幾何を結びつける指数定理を軸に、多様体を研究。
AboutAbout the lab
解析と幾何が交わる場所で。
森吉仁志先生は、
特に、
背景の
卒業研究の
Key terms
- 多様体
- どの
点の 近くも、 平らな 空間と 同じように 見える 図形。 曲線や 曲面を 一般の 次元に 広げた もの - 不変量
- 図形を
変形しても 変わらない量。 2つの 図形が 同じか どうかを 見分ける 手が かりに なる - 葉層多様体
- 薄い
層 （葉）が 重なるように、 同じ 次元の 面で 隙間なく 分けられた 多様体
ResearchResearch themes
多様体の
*Illustrative imageアティヤー・シンガー指数定理
多様体の
*Illustrative image非可換幾何学と葉層多様体
指数定理を
MembersFaculty
- Professor森吉 仁志
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 位相幾何学・微分幾何・大域解析学（森吉 仁志）
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表現論・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: “Surface of revolution illustration” Oleg Alexandrov / Public domain (cropped)
- アティヤー・シンガー指数定理: “Big bang manifold (it)” Big_bang_manifold.png: Jim Pivarski derivative work: F l a n k e r (talk) / Public domain (cropped)
- 非可換幾何学と
葉層 多様体: “Orange Torus” Gelada / CC BY-SA 3.0 (cropped) - Related lab (複素幾何
（糟谷 久矢） ): “Triangle general surface” Gregors / CC BY-SA 3.0 (cropped) - Related lab (表現論・作用素環論
（荒野 悠輝） ): “Mathematics lecture notes, Mathematical analysis, Linear algebra, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped) - Related lab (情報理論・量子情報理論・量子ネットワーク
（林 正人） ): “6 Transmon Superconducting Quantum Processor without Cheesing 012” OJB Quantum / CC BY 4.0 (cropped) - Related lab (表現論・
無限可積分系 （林 孝宏） ): “Dynkin diagram Dn” Rogilbert / Public domain (cropped)
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