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代数系（蔡園青）
Showing the original Japanese · View translation
保型表現とL関数を手がかりに、数の世界の仕組みを調べる研究。
AboutAbout the lab
数の世界の仕組みを、L関数から読み解く。
蔡園青先生は、
保型表現と
この
最近
Key terms
- 保型表現
- 高い
対称性を もつ関数の ふる まいを、群の 表し方と してとらえた もの。 整数論の 中心的な 対象 - L関数
- 整数や
表現の 情報を 無限の 和や 積の 形に まとめた 関数。 数の 性質を 引き出す道具に なる - 古典群
- 行列のなす群の
うち、 直交群や シンプレクティック群など 古くから 調べられてきた もの
ResearchResearch themes
整数論の
*Illustrative image古典群の保型L関数
最近
*Illustrative image被覆群の表現論
近年は、
MembersFaculty
- Associate Professor蔡 園
青
VoicesStudent voices
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解析系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: “Dedekind Eta” Jan Homann / Public domain (cropped)
- 古典群の
保型L関数: “Hyperboloid-with-7,3-tiling” PSL27 / CC BY-SA 4.0 (cropped) - 被覆群の
表現論: “Riemann surface log” Jan Homann / Public domain (cropped) - Related lab (代数系
（沼田泰英） ): “Young tableau for partitions of number 10” Unmismoobjetivo / CC BY 4.0 (cropped) - Related lab (幾何系
（野崎雄太） ): “Trefoil knot cgi” Altapedia / CC BY-SA 4.0 (cropped) - Related lab (幾何系
（川﨑盛通） ): “Chaos Theory & Double Pendulum - 1” Cristian V. / CC BY-SA 4.0 (cropped) - Related lab (解析系
（本多尚文） ): “Essential singularity” Functor Salad / CC BY-SA 3.0 (cropped)
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