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応用数理研究部門(上田 福大)
Showing the original Japanese · View translation
p進Hodge理論を軸に、数論幾何と整数論を研究する研究室。

AboutAbout the lab
数論と幾何をp進Hodge理論でつなぐ。
上田研究室は、
p進Hodge理論、
Langlands
いまは、
Key terms
- p進Hodge理論
- 素数pごとに
決まる 数の 世界 (p進数)で、 数論の 対象と 幾何の 対象を 比べる 理論 - Galois表現
- 方
程式の 解の 入れ替え (ガロア群)を、 行列の 形で 書き表した もの - エタール・
コホモロジー - 図形の
「穴」の 情報を 取り出す道具を、 整数論の 対象にも 使えるように 広げた もの
ResearchResearch themes
数論幾何と
*Illustrative imageFontaine-Mazur予想
Langlands
*Illustrative imagep進Hodge理論の比較定理
p進エタール・
*Illustrative image保型形式の族への応用
p進Hodge理論は、
MembersFaculty
- Lecturer上田 福大
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: “Eisenstein 14” Jan Homann / Public domain (cropped)
- Fontaine-Mazur予想: “KleinjHSV” Empetrisor / CC BY-SA 4.0 (cropped)
- p進Hodge理論の
比較定理: “3-adic integers” LightbulbMEOW / CC BY-SA 4.0 (cropped) - 保型形式の
族への 応用: “Mathematical analysis, Linear algebra, Mathematics lecture notes, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (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 (応用数理研究部門
(川北 真之) ): “Du Val singularities” Aizenr / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
(牧野 和久) ): “B functies 2var versie02” Bob.v.R / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
(小林 佑輔) ): “Graph-matroid” Didia / CC BY-SA 4.0 (cropped)
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