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無限解析研究部門（望月 新一）
Showing the original Japanese · View translation
双曲的な代数曲線を中心に、遠アーベル幾何から数論幾何を研究する研究室。
AboutAbout the lab
曲線と基本群から、数論幾何を探る。
望月研究室は、
数体や
双曲的代数曲線では、
p進タイヒミューラー理論や
Key terms
- 数論幾何
- 整数や
方程式の 解の 性質を、 図形 （代数多様体）の 言葉と 道具で 調べる 数学の 分野 - 楕円曲線
- 3次式で
表される 代表的な 曲線。 整数論で 中心的に 研究されてきた 対象 - 基本群
- 図形の
上を 一周する 道を、 連続的に 変形して 移り合う ものを 同じと みなして 集めた 群 - 遠アーベル幾何
- 非可換な
基本群や ガロア群から、 もとの 曲線などの 姿を どこまで 復元できるかを 調べる 理論
ResearchResearch themes
楕円曲線や
*Illustrative image遠アーベル幾何の諸理論の融合
2000年以降は
*Illustrative image宇宙際タイヒミューラー理論
「宇宙際タイヒミューラー理論」に
*Illustrative image組合せ論的遠アーベル幾何
共同研究で、
MembersFaculty
- Professor望月 新一
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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: “Kyoto University RIMS” KATSURA Roen / CC BY 3.0 (cropped)
- 遠アーベル幾何の
諸理論の 融合: “Fundamental domain of the Bolza surface” Joroco246 / CC BY-SA 4.0 (cropped) - 宇宙際タイヒミューラー理論: “Limesmenge einer quasifuchsschen Gruppe” Café Bene / CC BY-SA 3.0 (cropped)
- 組合せ論的遠アーベル幾何: “KQCHP” Greg Egan / CC BY-SA 4.0 (cropped)
- Related lab (無限解析研究部門
（星 裕一郎） ): “Kleinian group limit set on sphere” Adam majewski / CC BY-SA 4.0 (cropped) - Related lab (無限解析研究部門
（玉川 安騎男） ): “Klein-map” PSL27 / CC BY-SA 4.0 (cropped) - Related lab (無限解析研究部門
（梶野 直孝） ): “Pseudo Kleinian OpenCL K 002” PantheraLeo1359531 / CC BY-SA 4.0 (cropped) - Related lab (無限解析研究部門
（尾髙 悠志） ): “Quartic Fermat curve” Jacob Rus / CC BY-SA 4.0 (cropped)
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