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無限解析研究部門（玉川 安騎男）
Showing the original Japanese · View translation
代数曲線の基本群を軸に、整数論と数論幾何を研究する研究室。
AboutAbout the lab
曲線の基本群から、数論の姿を探る。
玉川研究室は、
代数曲線や
数理解析研究所では、
曲線の
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 - 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 - ガロア表現
- 方
程式の 解の 対称性を 表すガロア群を、 行列の 群と して 表した もの
ResearchResearch themes
代数多様体、
*Illustrative image有限体上の曲線の遠アーベル幾何
セクション予想に
*Illustrative imagel進表現系の像のふるまい
共同研究で、
*Illustrative image幾何的モノドロミーの半単純性
共同研究で、
*Illustrative image伊原の問題とアーベル多様体
ある
MembersFaculty
- Professor玉川 安騎男
VoicesStudent voices
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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: “Klein-map” PSL27 / CC BY-SA 4.0 (cropped)
- 有限体上の
曲線の 遠アーベル幾何: “Pants in the plane” Jean Raimbault / CC BY-SA 4.0 (cropped) - l進表現系の
像の ふる まい : “Cayley graph of Alternating Group A7” Kathryn Cramer / CC BY-SA 4.0 (cropped) - 幾何的モノドロミーの
半単純性: “Riemann sqrt” Wlongqi / CC BY-SA 3.0 (cropped) - 伊原の
問題と アーベル多様体: “Tetrahedroid” Salix alba / 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
（望月 新一） ): “Kyoto University RIMS” KATSURA Roen / CC BY 3.0 (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
（尾髙 悠志） ): “Quartic Fermat curve” Jacob Rus / CC BY-SA 4.0 (cropped)
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