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応用数理研究部門（疋田 辰之）
Showing the original Japanese · View translation
組み合わせ論の問題を手がかりに双対性を探る、幾何学的表現論の研究室。
AboutAbout the lab
組み合わせ論を探針に、双対性を見つける。
疋田研究室は、
数学や
組み合わせ論の
グラフの
Key terms
- 双対性
- 一見まったく
異なる 数学的対象どうしが、 実は 等価に なっていると いう 現象 - 組み合わせ論
- ものの
並べ方や 数え方、 グラフなど、とびとびの 構造を 調べる 数学の 分野 - 表現論
- 群や
代数などの 抽象的な 構造を、 行列や 線形変換と して 具体的に 表して 調べる 分野
NewsLab news
View More ↗ResearchResearch themes
一見まったく
*Illustrative imageシャッフル予想の位相幾何的解釈
シャッフル予想と
*Illustrative imageシンプレクティック双対性
シンプレクティック双対性のもとで、
*Illustrative image標準基底と最高ウェイト圏
代数幾何側の
*Illustrative image楕円標準基底
標準基底の
MembersFaculty
- Associate Professor疋田 辰之
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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: “Young tableau for partitions of number 10 stacked” Unmismoobjetivo / CC BY 4.0 (cropped)
- シャッフル予想の
位相幾何的解釈: “Elementary symmetric functions (1)” Daviddaved / CC BY 3.0 (cropped) - シンプレクティック双対性: “Weyl chambers for A2” Mathphysman / CC BY-SA 4.0 (cropped)
- 標準基底と
最高ウェイト圏: “Young-Schensted” ManiacParisien / CC BY-SA 3.0 (cropped) - 楕円標準基底: “The lemniscate sine and cosine related to the arclength of the lemniscate of Bernoulli” Jacob Rus / CC BY-SA 4.0 (cropped)
- Related lab (応用数理研究部門（上田 福大）
): “Eisenstein 14” Jan Homann / Public domain (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
（河村 彰星） ): “Turing Machine” Porao / Public domain (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)
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