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基礎数理研究部門（小野 薫）
Showing the original Japanese · View translation
Floer理論でシンプレクティック構造の幾何学を研究する研究室。
AboutAbout the lab
正則曲線の方法で、空間の幾何構造を探る。
小野研究室は、
Floer理論は、
Hamilton微分同相写像に
Key terms
- シンプレクティック構造
- 物体の
位置と 運動量を あわせた 空間 （相 空間）に 備わる 幾何構造 - Floer理論
- 正則曲線と
変分法を 組み合わせ、 周期解や 交わりの 情報を ホモロジーに まとめる 理論 - ホモロジー的ミラー対称性
- シンプレクティック幾何と
代数幾何と いう 別々の 幾何が、 対に なって 対応すると いう 予想
ResearchResearch themes
空間の
*Illustrative imageFloer理論の構成とArnold予想
Hamilton微分同相写像に
*Illustrative imageLagrange部分多様体のFloer理論
Lagrange部分
*Illustrative image倉西構造と仮想的基本類
これらの
MembersFaculty
- Professor小野 薫
VoicesStudent voices
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基礎数理研究部門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: “Torus vectors radial” RokerHRO / CC BY-SA 3.0 (cropped)
- Floer理論の
構成と Arnold予想: “Arnold cat map” Jacopo Bertolotti / CC0 (cropped) - Lagrange部分
多様体の Floer理論: “Clifford-torus-frame-25” Preimage / Public domain (cropped) - 倉西構造と
仮想的基本類: “Stef57 Cobordisme en dim 1” Stef57 / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（入江 慶） ): “Overtwisted contact structure” Pmassot / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（望月 拓郎） ): “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped) - Related lab (基礎数理研究部門
（山下 剛） ): “Riemann zeta function absolute value vi” Conscious / CC BY 2.5 (cropped) - Related lab (基礎数理研究部門
（中西 賢次） ): “Korteweg-de Vries equation for solitons” Diederik Korteweg. Gustav de Vries. Sander Bais. Gijs Mathijs Ontwerpers, Amsterdam / Public domain (cropped)
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