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基礎数理研究部門（望月 拓郎）
Showing the original Japanese · View translation
調和バンドルやツイスターD加群を中心に、微分幾何と代数幾何を研究する。
AboutAbout the lab
調和バンドルとツイスターD加群の理論を、使えるものに育てる。
望月 拓郎 教授は、
調和バンドルの
近年は、
具体的には、
Key terms
- 調和バンドル
- 多重調和計量と
いう 特別な 計量を もつ、 ヒッグス束や 平坦束 - D加群
- 微分方
程式を、 代数の 言葉で 扱う ための 枠組み。 微分作用素がは たらく 加群 - 小林-Hitchin対応
- ベクトル束の
「安定性」と いう 代数的な 条件と、 特別な 計量が 存在する こととを 結ぶ 対応 - Stokes現象
- 特異点の
まわりで、 微分方 程式の 解の 近似の 形が、 近づく 方向に よって 切り 替わる 現象
ResearchResearch themes
調和バンドルや
*Illustrative image調和バンドルとツイスターD加群
調和バンドルの
*Illustrative image戸田方程式とヒッグス束
数理物理に
*Illustrative imageインスタントンとモノポール
周期性を
*Illustrative imageリーマン面上の調和バンドルの極限
コンパクトなリーマン面上の
MembersFaculty
- Professor望月 拓郎
VoicesStudent voices
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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: “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
- 調和バンドルと
ツイスターD加群: “AiryAi Arg Surface” Inductiveload / Public domain (cropped) - 戸田方程式と
ヒッグス束: “Riemann sqrt” Wlongqi / CC BY-SA 3.0 (cropped) - インスタントンと
モノポール: “Curvature of BPST Instanton” Tazerenix / CC BY-SA 4.0 (cropped) - リーマン面上の
調和バンドルの 極限: “Orange Genus 2 Surface” Gelada / CC BY-SA 3.0 (cropped) - Related lab (基礎数理研究部門
（中山 昇） ): “Sarti dodectic 360” Salix alba / CC BY-SA 4.0 (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
（入江 慶） ): “Overtwisted contact structure” Pmassot / CC BY-SA 3.0 (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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