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数理解析研究所（桑垣 樹）
Showing the original Japanese · View translation
層の理論で、シンプレクティック幾何と代数解析を研究する研究室。
AboutAbout the lab
層の理論で、幾何と微分方程式をつなぐ。
桑垣研究室は、
特に、
主な
研究紹介では、
Key terms
- 超
局所層理論 - 微分方
程式の 超局所解析を トポロジーの 言葉で まねた 理論。 層が 変わる 方向を、 余接束の 言葉で 表す - 深谷圏
- シンプレクティック多様体に
対して 定義される圏。 ラグランジュ部分 多様体などから 組み立てる - ホモロジー的ミラー対称性
- 深谷圏と、
代数幾何で 定義される 連接層の 導来圏が、 圏と して 同値に なると いう 予想
ResearchResearch themes
シンプレクティック幾
*Illustrative image超局所層理論
主な
*Illustrative image深谷圏と層量子化
特別な
*Illustrative imageホモロジー的ミラー対称性
ホモロジー的ミラー対称性は、
*Illustrative image幾何的な代数解析と量子化
完全WKB解析で
MembersFaculty
- Associate Professor桑垣 樹
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 数理解析研究所（桑垣 樹）
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応用数理研究部門
無限解析研究部門
無限解析研究部門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: “Whitney umbrella” Jlrodri / CC BY-SA 3.0 (cropped)
- 超
局所層理論: “Commutative diagram used in proof of cellular chain complex” Dom walden / CC BY-SA 4.0 (cropped) - 深谷圏と
層量子化: “Lemniscate of Bernoulli NURBS” Eastnman / CC BY-SA 4.0 (cropped) - ホモロジー的ミラー対称性: “Toric lens surface 2” HHahn / CC BY-SA 3.0 (cropped)
- 幾何的な
代数解析と 量子化: “Wave packet (no dispersion) instance” User:Dicklyon / 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 (応用数理研究部門
（疋田 辰之） ): “Young tableau for partitions of number 10 stacked” Unmismoobjetivo / CC BY 4.0 (cropped) - Related lab (無限解析研究部門
（並河 良典） ): “Consani-Scholten” Ursulageorges / CC BY 4.0 (cropped) - Related lab (無限解析研究部門
（緒方 芳子） ): “Thousands of Atoms Swap 'Spins' with Partners in Quantum Square Dance ( )” National Institute of Standards and Technology / Public domain (cropped)
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