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代数的位相幾何学・ホモトピー論（ラース・ヘッセルホルト）
Showing the original Japanese · View translation
環ごとに位相空間を定め、代数的K理論を研究する研究室。
AboutAbout the lab
線形代数を、体でない環の上へ。
ラース・ヘッセルホルト先生は、
代数的K理論では、
この
博士前期課程の
Key terms
- 環
- 足し算・
引き算・かけ算が できる 数の 体系を 一般化した もの。 割り算が できる ものは 体と よぶ - ホモトピー群
- 空間の
中の 輪や 球面を、 連続的に 変形して 移り合う もの どうしを 同じと みなして 分類した 群 - 位相的巡回ホモロジー
- 代数的K理論の
研究で 扱われる 理論。 線形代数の 特性 多項式を 一般化した ものと 考えられる
ResearchResearch themes
専門は、
MembersFaculty
- Professorラース・ヘッセルホルト
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位相幾何学・微分幾何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: “Topology joke” Keenan Crane and Henry Segerman / CC BY-SA 3.0 (cropped)
- 代数的K理論: “Torus vectors radial” RokerHRO / CC BY-SA 3.0 (cropped)
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表現論 （高橋 亮） ): “Tensor product of algebras” Jakob.scholbach / CC BY-SA 4.0 (cropped) - Related lab (代数幾何・微分幾何・複素幾何
（久本 智之） ): “Peano intersection” Salix alba / CC BY-SA 4.0 (cropped) - Related lab (位相幾何学・微分幾何
（太田 啓史） ): “Schwarz P Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
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