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基礎数理研究部門（入江 慶）
Showing the original Japanese · View translation
シンプレクティック幾何学で力学系の周期軌道を研究する研究室。
AboutAbout the lab
幾何学の道具で、力学系の周期軌道に迫る。
入江研究室は、
特に、
擬正則曲線から
将来的には、
Key terms
- シンプレクティック幾何学
- 物体の
位置と 運動量を あわせた 空間 （相 空間）が もつ構造を 調べる 幾何学 - 周期軌道
- 一定の
時間が たつと 元の 状態に 戻り、 同じ 動きを くり返す 運動の 道すじ - Floerホモロジー
- 擬正則曲線を
使って、 周期軌道などの 情報を 代数的な 量に まとめる 理論
NewsLab news
View More ↗ResearchResearch themes
シンプレクティック幾何学、
*Illustrative image容量の計算とビリヤード力学系
余接束の
*Illustrative imageストリング・トポロジーとFloer理論
Lagrange部分
*Illustrative image力学系の閉補題
埋込接触ホモロジー（ECH）を
*Illustrative image閉補題の高次元への拡張
閉補題が
MembersFaculty
- Professor入江 慶
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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: “Overtwisted contact structure” Pmassot / CC BY-SA 3.0 (cropped)
- 容量の
計算と ビリヤード力学系: “Billiard trajectories in an ellipse (three behaviors)” Dixy52 / CC0 (cropped) - ストリング・トポロジーと
Floer理論: “Homotopy of pointed circle maps” KSmrq / CC BY-SA 3.0 (cropped) - 力学系の
閉補題: “Standard contact structure r 3” Pmassot / CC BY-SA 3.0 (cropped) - 閉補題の
高次元への 拡張: “Hopfkeyrings” 作者不詳 / Public domain (cropped) - Related lab (基礎数理研究部門
（小野 薫） ): “Torus vectors radial” RokerHRO / 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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