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代数幾何（石井 亮）
Showing the original Japanese · View translation
特異点の幾何と群の表現を結ぶ、McKay対応の研究。
AboutAbout the lab
特異点の幾何と代数をつなぐ。
石井亮先生は、
McKay対応は、
その
特異点の
Key terms
- 特異点
- 曲面などの
図形の うち、とがったり 交わったりしてなめらかでなくなっている 点 - McKay対応
- 特異点の
解消の 幾何学と、 有限群の 表現論の あいだに 成り 立つ対応関係 - モジュライ空間
- ある
種類の 図形や 対象を 1つずつ点に 対応させ、 全体を 1つの 空間に まとめた もの - 導来圏
- 図形の
上の 層などを 「複体」の 形で まとめて あつかう、 代数的な 枠組み
ResearchResearch themes
McKay対応と
*Illustrative imageMcKay対応とクレパント解消
平面や
*Illustrative imageダイマー模型
主に
*Illustrative image導来圏の構造
代数多様体の
MembersFaculty
- Professor石井 亮
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 代数幾何（石井 亮）
代数幾何・
微分幾何・複素幾何・力学系・
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環論・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: “Surface of degree 7” Jean Constant / CC BY-SA 4.0 (cropped)
- McKay対応と
クレパント解消: “Cayley graph of quaternion group on torus” PSL27 / CC BY-SA 4.0 (cropped) - ダイマー模型: “Domino” Dietmar Rabich / CC BY-SA 4.0 (cropped)
- 導来圏の
構造: “Encyclopedia of Mathematics, Complete Set” Policron / CC BY-SA 3.0 (cropped) - Related lab (代数幾何・
表現論・ 無限可積分系・数理物理 （柳田 伸太郎） ): “Truncated icosahedron cherry model by George W. Hart” George W. Hart / CC BY-SA 4.0 (cropped) - Related lab (微分幾何・複素幾何・力学系・
大域解析学 （松尾 信一郎） ): “Minimal surface curvature planes-nl” ChristiaanPR / CC BY-SA 4.0 (cropped) - Related lab (解析的整数論・代数的整数論
（ヘンリク・バッハマン） ): “ZetaFunction” Gaussianer / Public domain (cropped) - Related lab (環論・
表現論 （塚本 真由） ): “Combined group axiom commutative diagram” Struoc / CC BY-SA 4.0 (cropped)
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